Mathematics

# 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

4 years ago

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

#### Gracie216

4 years ago

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