Solving One-Variable Inequalities

7 September 2022
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16 test answers

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question
Solve the inequality. 2(4 + 2x) β‰₯ 5x + 5?
answer
x ≀ 3
question
Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
answer
Line 2.
question
What value of x is in solution set of 9(2x + 1) < 9x - 18?
answer
-4
question
Which number line represents the solution set for the inequality 2x - 6 β‰₯ 6(x - 2) + 8?
answer
Line 3.
question
What value of x is in the solution set of 2(3x - 1) β‰₯ 4x - 6?
answer
-1
question
Which number line represents the solution set for the inequality -1/2 x β‰₯ 4?
answer
Line 2.
question
Solve the inequality. 2(4x - 3) β‰₯ -3(3x) + 5x?
answer
x β‰₯ 0.5
question
Which is a correct first step in solving 5 - 2x < 8x - 3?
answer
5 < 10x - 3
question
Step 1: Subtract 3 from both sides of the inequality. Step 2: ___________ Step 3: Divide both sides of the inequality by the coefficient of x. What is the missing step in solving the inequality 5 - 8x < 2x + 3?
answer
Add 8x to both sides of the inequality.
question
What value of x is in the solution set of 3(x - 4) β‰₯ 5x + 2?
answer
-10
question
What value of x is in the solution set of 8x - 6 > 12 + 2x?
answer
5
question
Step 1: -10 + 8x < 6x - 4 Step 2: -10 < -2x - 4 Step 3: -6 < -2x Step 4: ____________ What is the final step in solving the inequality -2(5 - 4) < 6x - 4?
answer
x < 3
question
What value of x is in the solution set of 4x - 12 ≀ 16 + 8x?
answer
-7
question
Which correct first step in solving the inequality -4(2x - 1) > 5 - 3x?
answer
Distribute -4 to get -8x + 4 > 5 - 3x.
question
What value of x is in the solution set of 2x - 3 > 11 - 5x?
answer
4
question
What is a correct first step in solving the inequality -4(3 - 5x)β‰₯ -6x + 9?
answer
-12 + 20x β‰₯ -6x + 9