Question

solve and graph the following inequality: 10x < 5 inequality: graph: number line options

Explanation:

Step1: Isolate the variable x

Divide both sides of the inequality $10x < 5$ by 10. Since 10 is positive, the direction of the inequality sign remains the same. So we have $x<\frac{5}{10}$, which simplifies to $x < \frac{1}{2}$.

Step2: Graph the solution

On a number - line, draw an open circle at $\frac{1}{2}$ (because the inequality is $x < \frac{1}{2}$, not $x\leq\frac{1}{2}$) and shade the line to the left of $\frac{1}{2}$ to represent all the values of x that satisfy the inequality.

Answer:

Inequality: $x < \frac{1}{2}$
Graph: An open - circle at $\frac{1}{2}$ on the number line and shading to the left of $\frac{1}{2}$.