Question

Solve the inequality. Using a verbal statement, in simplest terms, describe the solution of the inequality. Be sure to include the terms, “greater than”, “greater than or equal to”, “less than”, or “less than or equal to”.

-2x + 3 > 3(2x - 1)

Answer 1

x is less than three-fourths

x is less than 0.75

Explanation:

Answer 2

x is less than three-fourths

x is less than 0.75

Explanation:

First distribute the 3 on the right side of the equation.

-2x + 3 > 3(2x-1)

-2x + 3 > 6x -3

Then you transpose and combine like terms

-2x -6x > -3 - 3

-8x > -6

Divide both sides by -8, but if you will do this, you need to remember if you divide both sides by a negative number, you need to swap the inequality.

x < 3/4

x < 0.75