Solve the linear inequality 1/4 x−2<−1

Question

.(1 point)
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Answer 1

To solve the linear inequality \( \frac{1}{4}x - 2 < -1 \), follow these steps:

1. Add 2 to both sides: \[ \frac{1}{4}x - 2 + 2 < -1 + 2 \] This simplifies to: \[ \frac{1}{4}x < 1 \]

2. Multiply both sides by 4 (to eliminate the fraction): \[ 4 \cdot \frac{1}{4}x < 4 \cdot 1 \] This simplifies to: \[ x < 4 \]

So the solution to the inequality is: \[ x < 4 \]