Question

solve the inequality and graph the solution on the line provided.
17 + 7x ≤ -4
answer attempt 1 out of 2
inequality notation:
number line:
(number line from -12 to 12 with ticks at each integer)
submit answer

Explanation:

Step1: Subtract 17 from both sides

$17 + 7x - 17 \leq -4 - 17$
$7x \leq -21$

Step2: Divide both sides by 7

$\frac{7x}{7} \leq \frac{-21}{7}$
$x \leq -3$

Step3: Graph on number line

For the number line: Draw a closed dot at $x=-3$, then shade all values to the left of $-3$ (towards negative infinity).

Answer:

Inequality Notation: $x \leq -3$
Number Line: Closed dot at $-3$, shaded region extending left from $-3$ to $-12$ (and beyond) on the provided number line.