Question

linear inequality and number line 1 question: solve the inequality and graph the solution on the line provided.

Explanation:

Step1: Isolate the variable term

Add \(5x\) to both sides of \(- 10-5x>0\), we get \(-10 > 5x\).

Step2: Solve for \(x\)

Divide both sides by 5, since we are dividing by a positive number, the inequality sign remains the same. So \(x<- 2\).

Step3: Graph on number - line

On the number - line, draw an open circle at \(-2\) (because \(x\) is less than, not less than or equal to) and shade the line to the left of \(-2\).

Answer:

\(x < - 2\), and on the number - line, an open circle at \(-2\) with shading to the left.