Question

Which inequality is graphed on the number line?

Answer 1

@satellite73

Answer 2

well...whichever one has the answer of m >= 5
lets check...
(1) 2(m + 3) + 7 >= 11
2m + 6 + 7 >= 11
2m + 13 >= 11
2m >= 11 - 13
2m >= -2
m >= -1 (not the one we need)
(2) 2(m - 3) - 7 <= 11
2m - 6 - 7 <= 11
2m - 13 <= 11
2m <= 13 + 11
2m <= 24
m <= 12 (nope)
(3) 2(m - 3) + 7 >= 11
2m - 6 + 7 >= 11
2m + 1 >= 11
2m >= 11 - 1
2m >= 10
m >= 5 (Looks like this is it)...lets check the last one just in case
(4) 2(m + 3) -7 <= 11
2m + 6 - 7 <= 11
2m - 1 <= 11
2m <= 11 + 1
2m <= 12
m <= 6 (nope)
ANSWER: The 3rd one