Question

which of the following values are solutions to the inequality -9 - 4x ≥ 2?

i. -3 ii. -6 iii. 0

answer

none
i only
ii only
iii only
i and ii
i and iii
ii and iii
i, ii and iii
submit answer

Explanation:

Step1: Solve the inequality

Start with \(-9 - 4x \geq 2\). Add 9 to both sides: \(-4x \geq 2 + 9\) which simplifies to \(-4x \geq 11\). Divide both sides by -4 (remember to reverse the inequality sign): \(x \leq -\frac{11}{4} = -2.75\).

Step2: Check each value

• I. \(x = -3\): \(-3 \leq -2.75\), so it satisfies the inequality.
• II. \(x = -6\): \(-6 \leq -2.75\), so it satisfies the inequality.
• III. \(x = 0\): \(0 \leq -2.75\) is false, so it does not satisfy.

Answer:

I and II