Question

1. solve and graph: 4x + 1 - 1 ≥ -8

Explanation:

Step1: Simplify the left - hand side

$4x+1 - 1=4x$, so the inequality becomes $4x\geq - 8$.

Step2: Solve for x

Divide both sides of the inequality $4x\geq - 8$ by 4. We get $x\geq\frac{-8}{4}=-2$.

Answer:

The solution of the inequality is $x\geq - 2$. To graph it, draw a number line. Mark a closed circle at $x = - 2$ (because the inequality is $\geq$) and shade to the right of $-2$.