Question

which of the m-values satisfy the following inequality?
5m + 1 ≤ 4
choose all answers that apply:
a m = 0
b m = 1
c m = 2

Explanation:

Step1: Solve the inequality

Subtract 1 from both sides of \(5m + 1\leq4\):
\(5m+1 - 1\leq4 - 1\)
\(5m\leq3\)

Divide both sides by 5:
\(m\leq\frac{3}{5}\) (or \(m\leq0.6\))

Step2: Check each option

• For \(m = 0\): \(0\leq0.6\), so \(m = 0\) satisfies the inequality.
• For \(m = 1\): \(1>0.6\), so \(m = 1\) does not satisfy the inequality.
• For \(m = 2\): \(2>0.6\), so \(m = 2\) does not satisfy the inequality.

Answer:

A. \(m = 0\)