Solve for x.

Question

5(x − 3) − 6(x − 2) > 8x + 2
Responses
A x > 5/9
x > 5 9
B x < 5/9
x < 5 9
C x > −5/9
x > − 5 9
D x < −5/9
x < − 5 9
E x > −9/5

Answer 1

To solve the inequality, we first distribute the terms inside the parentheses:

5x - 15 - 6x + 12 > 8x + 2

Combining like terms, we have:

-x - 3 > 8x + 2

Next, we can simplify by adding x to both sides of the inequality:

-3 > 9x + 2

Subtracting 2 from both sides gives us:

-5 > 9x

Finally, we can divide both sides by 9 to solve for x:

x < -5/9

Therefore, the solution to the inequality is x < -5/9, which corresponds to option D.