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

Question

.(1 point)
x<

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: $$x<4$$