Question

which of the following values are solutions to the inequality 3 - 4x ≥ -3? i. 1 ii. -3 iii. -5 answer none i only ii only iii only i and ii i and iii ii and iii i, ii and iii

Explanation:

Step1: Solve the inequality

Start with \(3 - 4x \geq -3\). Subtract 3 from both sides: \(-4x \geq -3 - 3\), so \(-4x \geq -6\). Divide both sides by -4 (remember to reverse the inequality sign): \(x \leq \frac{-6}{-4}=\frac{3}{2} = 1.5\).

Step2: Check each value

• For I (1): \(1 \leq 1.5\), so 1 is a solution.
• For II (-3): \(-3 \leq 1.5\), so -3 is a solution.
• For III (-5): \(-5 \leq 1.5\), so -5 is a solution.

Answer:

I, II and III