Question

solve for x and graph the solution on the number line below.
-70 ≥ -10x
answer attempt 1 out of 3
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Divide both sides by - 10

When dividing an inequality by a negative number, the direction of the inequality sign changes.
$$\frac{-70}{-10}\leq\frac{-10x}{-10}$$

Step2: Simplify the expressions

Simplify the left - hand side: $\frac{-70}{-10}=7$, and the right - hand side: $\frac{-10x}{-10}=x$.

Answer:

Inequality Notation: $x\geq7$

To graph $x\geq7$ on the number line: Place a closed circle at \(x = 7\) (because the inequality includes equality, i.e., \(x\) can be equal to \(7\)) and draw an arrow to the right of \(7\) to represent all values of \(x\) that are greater than or equal to \(7\).