Question

Solve the following inequality: –1 > –2(x – 4) – 5(4x – 7).

Answer 1

-1>-2(x-4)-5(4x-7)
-1>-7(5x-11)
+7 +7
6>5x-11
+11 +11
17>5x
/5 /5
3.4>x
x<3.4

Answer 2

You will want to solve for x.
-1>-2(x-4)-5(4x-7) Multiply
-1>-2x+8-20x+35 Add like terms
-1>-22x+43 Subtract 43 from both sides
-44>-22x Divide -22 (since negative, flip inequality sign)
2<x The answer

So x>2

I hope this helps... Have a great day!