Question

solve the inequality and graph the solution. 4x - 4 < 8x + 1. choose the correct graph below.

Explanation:

Step1: Solve the inequality

Subtract \(4x\) from both sides: \(4x - 4-4x<8x + 1-4x\), which simplifies to \(- 4<4x + 1\). Then subtract 1 from both sides: \(-4 - 1<4x+1 - 1\), getting \(-5 < 4x\). Divide both sides by 4: \(x>-\frac{5}{4}=-1.25\).

Step2: Analyze the graph

The solution \(x > - 1.25\) is a number - line graph with an open - circle at \(-1.25\) (since the inequality is strict, \(x
eq - 1.25\)) and an arrow pointing to the right.

Answer:

B. (assuming option B is the graph with an open - circle at \(-1.25\) and an arrow pointing to the right)