Inequalities
Grade 9: inequality symbols < > ≤ ≥, show an inequality on a number line, solve a linear inequality, integer solutions, reverse the sign when multiplying by a negative.
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Questions
Which symbol makes this true: 7 __ 4?
- <
- =
- >
- ≤
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>Which symbol means "less than or equal to"?
- <
- ≠
- ≤
- ≥
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≤The inequality -3 < -5 is true. (True or false?)
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FalseOn a number line, x ≥ 2 is shown with which circle at 2?
- A filled circle, line going left
- A filled circle, line going right
- An open circle, line going left
- An open circle, line going right
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A filled circle, line going rightx < 3 is drawn on a number line. Which describes it?
- Filled circle at 3, line to the left
- Filled circle at 3, line to the right
- Open circle at 3, line to the left
- Open circle at 3, line to the right
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Open circle at 3, line to the leftSolve: x + 5 > 9
- x < 4
- x > 14
- x > 4
- x > 5
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x > 4Solve: 3x - 2 ≤ 10
- x ≤ 12
- x ≤ 4
- x ≤ 8/3
- x ≥ 4
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x ≤ 4What is the largest integer that satisfies x < 6.5? (Answer out loud)
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6How many integers satisfy -2 ≤ x < 3?
- 3
- 4
- 5
- 6
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5What is the smallest integer that satisfies 2x > 7? (Answer out loud)
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4When you divide both sides of an inequality by -2, you must reverse the sign. (True or false?)
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TrueSolve: -2x > 8
- x < -4
- x < 4
- x > -4
- x > 4
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x < -4Solve: 5 - 3x ≥ 14
- x ≤ -3
- x ≤ 3
- x ≥ -3
- x ≥ 3
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x ≤ -3If x > 2, then -x > -2. (True or false?)
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FalseSolve -x/3 < 2. Give your answer as an inequality. (Answer out loud)
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x > -6How many positive integers x satisfy 3x - 4 < 11?
- 3
- 4
- 5
- 6
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4