Question

If – 3 ≤ – 4x + 5 and x ε W, then the solution set is ______.

Options

• {.... –3, –2, –1, 0, 1, 2, 3...}

• {1, 2}

• {0, 1, 2}

• {2, 3, 4, 5}

Answer 1

If – 3 ≤ – 4x + 5 and x ε W, then the solution set is {0, 1, 2}.

Explanation:

Solve the inequality: –3 ≤ –4x + 5

Subtract 5: –8 ≤ –4x

Divide both sides by –4 (reverse the inequality): 2 ≥ x, i.e. x ≤ 2.

Since x ∈ W (whole numbers W = {0, 1, 2,...}), the whole-number solutions with x ≤ 2 are {0, 1, 2}.