Solve the inequality. Make sure to show your work.

−4(x−9)+2x<−6

1 answer

-4(x-9) + 2x < -6

Distribute the -4:

-4x + 36 + 2x < -6

Combine like terms:

-2x + 36 < -6

Subtract 36 from both sides:

-2x < -42

Divide by -2 (and reverse the inequality because of the division by a negative number):

x > 21

The solution to the inequality is x > 21.