Question

question: solve the inequality and graph the solution on the line provided. -11 + 4x ≤ 17 answer: attempt 1 out of 2 inequality notation: number line: click and drag to plot line -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12

Explanation:

Step1: Isolate the variable term

Add 11 to both sides of the inequality $- 11+4x\leq17$. We get $4x\leq17 + 11$.

Step2: Simplify the right - hand side

$17+11 = 28$, so the inequality becomes $4x\leq28$.

Step3: Solve for x

Divide both sides of the inequality by 4. Since 4>0, the direction of the inequality sign remains the same. So $x\leq\frac{28}{4}$, which simplifies to $x\leq7$.

In inequality notation, the solution is $x\leq7$.
On the number - line, we draw a closed circle at 7 (because the inequality includes equality, i.e., $x$ can be 7) and shade to the left of 7 to represent all the values of $x$ that satisfy the inequality.

Answer:

Inequality Notation: $x\leq7$
Number Line: A closed circle at 7 and shading to the left.