-4(x - 9) + 2x < -9 Solve the innequality

Answer 1

To solve the inequality, we simplify the expression:

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

Distribute -4:

-4x + 36 + 2x < -9

Combine like terms:

-2x + 36 < -9

Subtract 36 from both sides:

-2x < -45

Divide both sides by -2, remembering that dividing by a negative number in an inequality flips the sign:

x > 45/2

The solution to the inequality is x > 22.5.