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Algebra 1 : Systems of Inequalities

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Example Questions

Example Question #71 : Systems Of Inequalities

Solve the inequality: x-6>37

Possible Answers:

$x<\frac{37}{6}$

x<31

x<43

x>31

x>43

Correct answer:

x>43

Explanation:

In order to solve the inequality, we will need to add six on both sides.

x-6+6>37+6

Simplify both sides of the equation.

The answer is: x>43

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Example Question #72 : Systems Of Inequalities

Solve the inequality: x-23>47

Possible Answers:

x>23

x<70

x>24

x<24

x>70

Correct answer:

x>70

Explanation:

In order to solve for x, add 23 on both sides of the equation.

x-23+23>47+23

Simplify both sides.

The answer is: x>70

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Example Question #73 : Equations / Inequalities

Solve the inequality: x-12>9

Possible Answers:

x>21

x>-3

x>3

x<21

x<-21

Correct answer:

x>21

Explanation:

In order to solve this inequality, add 12 on both sides.

x-12+12>9+12

Simplify both sides of the equation.

x>21

The answer is: x>21

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Example Question #23 : How To Find The Solution To An Inequality With Addition

Solve the inequality: x-9>36

Possible Answers:

x<-45

x>27

x>45

x>-45

x<45

Correct answer:

x>45

Explanation:

To isolate the x variable, add nine on both sides of the equation.

x-9+9>36+9

Simplify both sides of the equation.

x>45

The answer is: x>45

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Example Question #75 : Equations / Inequalities

Solve the inequality: x-9>-44

Possible Answers:

x>-35

x<35

x>35

x<-35

$x\leq-35$

Correct answer:

x>-35

Explanation:

In order to solve this inequality, add nine on both sides.

x-9+9>-44+9

Simplify both sides of the inequality.

x>-35

The answer is: x>-35

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Example Question #76 : Equations / Inequalities

Solve the inequality: 2x-3>4

Possible Answers:

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

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

$x\geq\frac{7}{2}$

$x<\frac{7}{2}$

$x>\frac{7}{2}$

Correct answer:

$x>\frac{7}{2}$

Explanation:

Add three on both sides.

2x-3+3>4+3

Simplify both sides.

2x>7

Divide by two on both sides.

$\frac{2x}{2}>\frac{7}{2}$

Simplify both sides.

The answer is: $x>\frac{7}{2}$

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Example Question #77 : Equations / Inequalities

Solve the inequality: $x-9\leq 8$

Possible Answers:

x<17

$x\geq 17$

$x\leq -1$

$x\leq 17$

x>17

Correct answer:

$x\leq 17$

Explanation:

To solve this inequality, simply add nine on both sides.

$x-9+9\leq 8+9$

Simplify both sides of the inequality.

$x\leq 17$

The answer is: $x\leq 17$

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Example Question #22 : How To Find The Solution To An Inequality With Addition

Solve the inequality: x-18>36

Possible Answers:

$x\leq54$

x<18

x>54

x<54

x>18

Correct answer:

x>54

Explanation:

In order to solve this inequality, add 18 on both sides.

x-18+18>36+18

Simplify both sides.

x>54

The answer is: x>54

Report an Error

Example Question #23 : How To Find The Solution To An Inequality With Addition

Solve the inequality: x-13<-14

Possible Answers:

$x\geq-1$

x<-27

x<-1

x>-1

x>27

Correct answer:

x<-1

Explanation:

Add on both sides.

x-13+13<-14+13

Simplify both sides. The sign does not change.

The answer is: x<-1

Report an Error

Example Question #73 : Systems Of Inequalities

Solve the inequality: x-9>30

Possible Answers:

x>39

$x\leq-39$

$x\geq39$

x<39

$x\leq39$

Correct answer:

x>39

Explanation:

In order to find the solution to this inequality, add nine on both sides.

x-9+9>30+9

Simplify both sides. There is no need to change the direction of the sign.

The answer is: x>39

Report an Error

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Algebra 1 : Systems of Inequalities

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #71 : Systems Of Inequalities

Example Question #72 : Systems Of Inequalities

Example Question #73 : Equations / Inequalities

Example Question #23 : How To Find The Solution To An Inequality With Addition

Example Question #75 : Equations / Inequalities

Example Question #76 : Equations / Inequalities

Example Question #77 : Equations / Inequalities

Example Question #22 : How To Find The Solution To An Inequality With Addition

Example Question #23 : How To Find The Solution To An Inequality With Addition

Example Question #73 : Systems Of Inequalities

All Algebra 1 Resources

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