Question

solve the inequality and graph the solution on the line provided. - 6 + 7x ≤ 22
answer: about 1 out of 4
inequality notation:
number line:

Explanation:

Step1: Isolate the term with x

Subtract 6 from both sides of the inequality $6 + 7x\leq22$.
$6+7x - 6\leq22 - 6$
$7x\leq16$

Step2: Solve for x

Divide both sides of the inequality by 7.
$\frac{7x}{7}\leq\frac{16}{7}$
$x\leq\frac{16}{7}\approx2.29$

Answer:

Inequality Notation: $x\leq\frac{16}{7}$
For graphing on the number - line: Draw a closed circle at $\frac{16}{7}\approx2.29$ (since the inequality is $\leq$) and shade the line to the left of $\frac{16}{7}$.