Inequalities - SAT Math
Card 0 of 40
What is the meaning of the symbol $<$?
What is the meaning of the symbol $<$?
Less than; the value on the left is smaller than the value on the right.
Less than; the value on the left is smaller than the value on the right.
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What is the meaning of the symbol $>$?
What is the meaning of the symbol $>$?
Greater than; the value on the left is larger than the value on the right.
Greater than; the value on the left is larger than the value on the right.
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What is the meaning of the symbol $\le$?
What is the meaning of the symbol $\le$?
Less than or equal to.
Less than or equal to.
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What is the meaning of the symbol $\ge$?
What is the meaning of the symbol $\ge$?
Greater than or equal to.
Greater than or equal to.
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What happens when you add or subtract the same number from both sides of an inequality?
What happens when you add or subtract the same number from both sides of an inequality?
The direction of the inequality stays the same.
The direction of the inequality stays the same.
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What happens when you multiply or divide both sides of an inequality by a positive number?
What happens when you multiply or divide both sides of an inequality by a positive number?
The inequality direction stays the same.
The inequality direction stays the same.
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What happens when you multiply or divide both sides of an inequality by a negative number?
What happens when you multiply or divide both sides of an inequality by a negative number?
You must flip the inequality sign.
You must flip the inequality sign.
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Why can’t you multiply or divide an inequality by a variable unless you know its sign?
Why can’t you multiply or divide an inequality by a variable unless you know its sign?
Because if the variable is negative, the inequality direction would flip; if positive, it wouldn’t.
Because if the variable is negative, the inequality direction would flip; if positive, it wouldn’t.
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When is the solution of an inequality written with a closed circle on a number line?
When is the solution of an inequality written with a closed circle on a number line?
When the inequality includes equality ($\le$ or $\ge$).
When the inequality includes equality ($\le$ or $\ge$).
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When is the solution of an inequality written with an open circle on a number line?
When is the solution of an inequality written with an open circle on a number line?
When the inequality is strict ($<$ or $>$).
When the inequality is strict ($<$ or $>$).
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Solve for $x$: $3x - 5 > 10$.
Solve for $x$: $3x - 5 > 10$.
$x > 5$.
$x > 5$.
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Solve for $x$: $7x + 2 \le 16$.
Solve for $x$: $7x + 2 \le 16$.
$x \le 2$.
$x \le 2$.
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Solve for $x$: $2 - 4x > 10$.
Solve for $x$: $2 - 4x > 10$.
$x < -2$
$x < -2$
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Solve for $x$: $-5x + 3 < 8$.
Solve for $x$: $-5x + 3 < 8$.
$x > -1$
$x > -1$
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Solve for $x$: $8x - 7 \ge 17$.
Solve for $x$: $8x - 7 \ge 17$.
$x \ge 3$
$x \ge 3$
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Solve for $x$: $-3x - 2 \ge 7$.
Solve for $x$: $-3x - 2 \ge 7$.
$x \le -3$
$x \le -3$
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Solve for $x$: $x/4 - 3 < 2$.
Solve for $x$: $x/4 - 3 < 2$.
$x < 20$.
$x < 20$.
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Solve for $x$: $-2x/5 > 6$.
Solve for $x$: $-2x/5 > 6$.
$x < -15$
$x < -15$
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Simplify and solve: $6 - 2(x + 1) \ge 0$.
Simplify and solve: $6 - 2(x + 1) \ge 0$.
$x \le 2$.
$x \le 2$.
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Simplify and solve: $5(2x - 3) < 15$.
Simplify and solve: $5(2x - 3) < 15$.
$x < 3$.
$x < 3$.
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