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GRE Subject Test: Math : GRE Subject Test: Math

Study concepts, example questions & explanations for GRE Subject Test: Math

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All GRE Subject Test: Math Resources

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Example Questions

Example Question #13 : Solving Inequalities

3 (x-3) > 4 (x+2)

Possible Answers:

x< -1

x> -1

x< 17

x < -17

Correct answer:

x < -17

Explanation:

3 (x-3) > 4(x+2)

Begin by simplifying the inequality by using the distributive property.

3x - 9 > 4x +8

Add to both sides.

3x-9 + 9 > 4x + 8 + 9

3x> 4x + 17

Subtract from both sides.

3x-4x > 4x-4x+17

-x > 17

Because there is a negative variable, multiply both sides by and switch the inequality sign to its opposite.

x< -17

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Example Question #221 : Gre Subject Test: Math

b - 6 > 13

Possible Answers:

b > 19

b<7

b< 19

b> 7

Correct answer:

b > 19

Explanation:

b - 6 > 13

Add 6 to both sides of the inequality.

b-6 + 6> 13 + 6

b> 19

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Example Question #14 : Solving Inequalities

-3x -12> 15

Possible Answers:

x> -9

x < -9

x< 9

$x\geq 9$

Correct answer:

x < -9

Explanation:

-3x-12> 15

To isolate the variable, add to both sides of the inequality.

-3x-12+12 > 15 + 12

-3x >27

Divide both sides by -3. Because you are dividing by a negative integer, you have to flip or switch the inequality sign to its opposite.

x < -9

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Example Question #222 : Gre Subject Test: Math

Solve.

$12 + n \leq 4$

Possible Answers:

$n \leq -12$

$n\leq -8$

$n\leq 8$

$n\leq 12$

Correct answer:

$n\leq -8$

Explanation:

$12+n\leq 4$

To isolate the variable , subtract from both sides of the inequality.

$(12-12) + n \leq4-12$

$n\leq -8$

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Example Question #223 : Gre Subject Test: Math

$x + 0.8\leq -0.5$

Possible Answers:

$x\leq 0.3$

$x\leq -1.3$

$x\leq 1.3$

$x\leq -0.3$

Correct answer:

$x\leq -1.3$

Explanation:

$x + 0.8\leq -0.5$

To isolate the variable, subtract 0.8 from both sides of the inequality.

$x + 0.8-0.8 \leq -0.5-0.8$

$x\leq -1.3$

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Example Question #16 : Solving Inequalities

8x-10 > 4x - 6

Possible Answers:

x> -1

x>3

x>1

x<3

Correct answer:

x>1

Explanation:

8x-10 > 4x-6

Subtract from both sides of the equation

8x-4x-10 > 4x-4x-6

4x -10> -6

Add to both sides of the equation.

4x-10 + 10 = -6 + 10

4x > 4

Divide both sides by 4.

$\frac{4x}{4} >\frac{4}{4}$

x>1

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Example Question #21 : Solving Inequalities

0.6x +1.2 > 4.8

Possible Answers:

x>10

x<6

x<10

x>6

Correct answer:

x>6

Explanation:

0.6x + 1.2 > 4.8

10 (0.6x +1.2) > 4.8 (10)

6x + 12 > 48

6x + 12 - 12 = 48 -12

6x > 36

$\frac{6x}{6}> \frac{36}{6}$

x> 6

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Example Question #21 : Solving Inequalities

$12\left ( \frac{x+3}{2} -\frac{3x-2}{4}\right ) < 12x-1$

Possible Answers:

$x> \frac{5}{3}$

$x< \frac{1}{2}$

x < 2

x< -2

Correct answer:

$x> \frac{5}{3}$

Explanation:

$12\left ( \frac{x+3}{2} -\frac{3x-2}{4}\right ) < 12x-1$

$12\left ( \frac{2x+6}{4} -\frac{3x-2}{4}\right ) < 12x-1$

$12\left ( \frac{-x+8}{4}\right ) < 12x-1$

3(-x+8) < 12x-1

-3x +24 < 12x-1

25 < 15x

$x>\frac{25}{15} \rightarrow x>\frac{5}{3}$

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Example Question #22 : Solving Inequalities

Solve for the values of x that satisfies the equation: $2x-3\leqslant 9$ .

Possible Answers:

x<6

$x\geq6$

$x\leq6$

x<-6

Correct answer:

$x\leq6$

Explanation:

Step 1: Move the constant from the left side to the right side. We have , so we will add 3 to both sides of the equation to move the constant over.

$2x-3+(3)\leqslant9+3\rightarrow 2x\leqslant12$

Step 2: Divide by the coefficient in front of x.

$\frac {2x}{2}\leqslant \frac {12}{2}\rightarrow x\leqslant 6$

The values of x that satisfy the equation are $x\leqslant6$ (or $x\leq6$ )

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Example Question #23 : Solving Inequalities

7+4x>-3x+4

Possible Answers:

x<3/7

x>-3/7

x=3/7

x>3/7

x<-3/7

Correct answer:

x>-3/7

Explanation:

This problem involves solving the inequality.

7+4x>-3x+4

Add 3x to both sides

7+7x>+4

Subtract 7 to each side

7x>-3

divide both sides by7

x>-3/7

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All GRE Subject Test: Math Resources

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GRE Subject Test: Math : GRE Subject Test: Math

Study concepts, example questions & explanations for GRE Subject Test: Math

All GRE Subject Test: Math Resources

Example Questions

Example Question #13 : Solving Inequalities

Example Question #221 : Gre Subject Test: Math

Example Question #14 : Solving Inequalities

Example Question #222 : Gre Subject Test: Math

Example Question #223 : Gre Subject Test: Math

Example Question #16 : Solving Inequalities

Example Question #21 : Solving Inequalities

Example Question #21 : Solving Inequalities

Example Question #22 : Solving Inequalities

Example Question #23 : Solving Inequalities

All GRE Subject Test: Math Resources

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