Question

The inequality 6(x + 2) > 7(x − 5) is equivalent to which of the following inequalities?

A. x < −23
B. x < 07
C. x < 17
D. x < 37
E. x < 47

Answer 1

6(x+2) > 7(x-5)
6x +12>7x-35
6x-7x > -35 -12
-x > - 47
x < 47 = E

Answer 2

`6(x + 2) > 7(x-5)\\ \\6x+12>7x-35 \\ \\ 6x-7x >-35-12\\ \\-x>-47 \ \ /\cdot (-1)\\ \\x< 47 \\ \\Answer : \ E. \ \ x < 47`