To solve the inequality \( \frac{1}{4}x + 3 > -10 \), follow these steps: 1. Subtract 3 from both sides: \[ \frac{1}{4}x + 3 - 3 > -10 - 3 \] Simplifying this gives: \[ \frac{1}{4}x > -13 \] 2. Multiply both sides by 4 to isolate \( x \): \[ 4 \cdot \frac{1}{4}x > -13 \cdot 4 \] Which simplifies to: \[ x > -52 \] So the solution to the inequality is: \[ x > -52 \]

1/4x+3>-10

1 answer

To solve the inequality \( \frac{1}{4}x + 3 > -10 \), follow these steps:

Subtract 3 from both sides: \[ \frac{1}{4}x + 3 - 3 > -10 - 3 \] Simplifying this gives: \[ \frac{1}{4}x > -13 \]
Multiply both sides by 4 to isolate \( x \): \[ 4 \cdot \frac{1}{4}x > -13 \cdot 4 \] Which simplifies to: \[ x > -52 \]

So the solution to the inequality is: \[ x > -52 \]