Which inequality is graphed on the number line?

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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

Apr 28th, 2015

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. 

Apr 28th, 2015

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