Answer:
C
Step-by-step explanation:
-5(x - 19) ≤ -6 + 2x Remove the brackets on the left
-5x +95 ≤ -6 +2x Add 5x to both sides.
95 ≤ -6 + 2x +5x combine
95 ≤ -6 + 7x Add 6 to both sides
101 ≤ 7x Divide by 7
101 /7 ≤ x
What you do next is both tricky and time consuming. You have to get x on the left and the fraction on the right. So subtract x from both sides. And subtract 101/7 from both sides. They both become minus.
101/7 - 101/7 ≤ -101/7 + x
0 ≤ -101/7+ x Now subtract x from both sides
-x ≤ -101/7 + x -x
-x ≤ -101/7
Now comes the really nasty part. You have to get x > 0 and -101/7>0 That's easy enough. You just multiply both sides by -1
x ≤ 101/7
But when you do that (and this where you have to pay attention) the ≤ becomes ≥
x≥ 101/7
