Question

which of the following values are solutions to the inequality -5 - 2x ≤ -4?

i. -6 ii. -9 iii. -3

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 \(-5 - 2x \leq -4\). Add 5 to both sides: \(-2x \leq -4 + 5\) which simplifies to \(-2x \leq 1\). Divide both sides by -2 (remember to reverse the inequality sign): \(x \geq -\frac{1}{2}\).

Step2: Check each value

• I. \(-6\): \(-6 < -\frac{1}{2}\), so not a solution.
• II. \(-9\): \(-9 < -\frac{1}{2}\), so not a solution.
• III. \(-3\): \(-3 < -\frac{1}{2}\), so not a solution.

Answer:

None