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QUESTION IMAGE

solve for x and graph the solution on the number line below. -1 ≤ x/4 a…

Question

solve for x and graph the solution on the number line below. -1 ≤ x/4 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 click and drag to plot line. submit answer

Explanation:

Step1: Isolate the variable x

Multiply both sides of the inequality $- 1\leq\frac{x}{4}$ by 4. Since 4>0, the direction of the inequality sign remains the same.
$4\times(-1)\leq4\times\frac{x}{4}$

Step2: Simplify the expressions

We get $-4\leq x$, which can also be written as $x\geq - 4$.

Answer:

Inequality Notation: $x\geq - 4$
For the number - line: Plot a closed circle at - 4 (because the inequality is $\geq$) and draw a line extending to the right towards positive infinity.