Which inequality is graphed on the number line?

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a. 2 (m +3 ) - 7 ≤ 11

b. 2 (m +3 ) + 7 ≥ 11

c. 2 (m -3) - 7 ≤ 11

d. 2 (m -3) + 7 ≥ 11

The solution of the inequality is shown as m >= 5.

The answers a) and c) should be excluded because of the wrong direction of the inequality sign.

b) 2(m + 3) + 7 >= 11 => 2m + 6 + 7 >= 11 => 2m >= -2 => m >= -1, not the right answer

By exclusion, the answer must be d).

Check it: 2(m-3) +7 >= 11 => 2m - 6 + 7 >= 11 => 2m >= 10 => m >=5.

Answer: d.

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