Solving One-Variable Inequalities Answers

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What value of x is in the solution set of the inequality 4x – 12 ≤ 16 + 8x?

A
–10
B
–9
C
–8
D
–7
2
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Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

A
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
Option A
B
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Option B
C
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
Option C
D
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Option D
3

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

Question illustration
A
x < 5
B
–6x – 5 < 10 – x
C
–6x + 15 < 10 – 5x
D
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
Option D
E
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Option E
4

What value of x is in the solution set of the inequality 9(2x + 1) < 9x – 18?

A
–4
B
–3
C
–2
D
–1

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