-1/4x_> -5/8
the solution set is {x:x____ and ____}
multiply each side by -4
x<=20/8
check that
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To solve the inequality -1/4x > -5/8, we'll follow these steps:
Step 1: Multiply both sides of the inequality by -4. Since we multiply by a negative number, the direction of the inequality sign will reverse.
-1/4x * -4 < -5/8 * -4
Simplifying:
x < 10/8
Step 2: Simplify the right side of the inequality.
x < 10/8 can be simplified as x < 5/4.
So the solution set is {x: x < 5/4}. This means any value of x that is less than 5/4 will satisfy the inequality.