Question

Solve. −3/5x + 1/5 > 7/20 Drag and drop a number or symbol into each box to show the solution.

Choices: >, <, -3/20, -1/4, 1/4, 3/20.
(X, blank, blank)

Answer 1

x < -1/4

Explanation:

−3/5x + 1/5 > 7/20

Subtract 1/5 from each side

−3/5x + 1/5-1/5 > 7/20-1/5

Get a common denominator

-3/5x > 7/20 -1/5*4/4

-3/5 x > 7/20 -4/20

-3/5x > 3/20

Multiply by -5/3 to isolate x

When we multiply by a negative it flips the inequality

-5/3 *-3/5x < -5/3 *3/20

x < -5/20

x < -1/4