Question

solve the inequality and graph the solution
4x + 10 < 3
choose the correct graph below

Explanation:

Step1: Solve the inequality

Given \(4x + 10<3\).
Subtract \(10\) from both sides: \(4x+10 - 10<3 - 10\), so \(4x<-7\).
Divide both sides by \(4\): \(x<-\frac{7}{4}=-1.75\).

Step2: Analyze the graph

On a number - line, for \(x < - 1.75\), there is an open circle at \(-1.75\) (because the inequality is strict, i.e., \(x
eq - 1.75\)) and the line extends to the left (towards more negative numbers).

Answer:

Assuming option B (if it has an open circle at \(-1.75\) and the line going to the left) is the correct graph. But since the options are not clearly labeled with their exact graph details, if we follow the solution \(x<-\frac{7}{4}=-1.75\), the graph should have an open circle at \(-1.75\) and a line extending to the left.