Question

Solve the inequality

-2x+4>x-20

Answer 1

x < 8

Explanation:

Let's solve the inequality −2x + 4 > x − 20.

First, let's simplify the expression on both sides of the inequality:

Combine like terms on each side:

−2x + 4 > x − 20

Get all the x terms on one side:

Subtract x from both sides:

−3x + 4 > −20

Get rid of the constant term on the side with x:

Subtract 4 from both sides:

−3x > −24

Divide by the coefficient of x, which is -3 (remember to reverse the inequality sign when dividing by a negative number):

x < −24​ / -3

Simplify:

x < 8

So, the solution to the inequality is x < 8.