Question

solve for x and graph the solution on the number line below.
3x + 10 < -2 or 13 < 3x + 10
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.

Explanation:

Step1: Solve the first inequality

Subtract 10 from both sides of $3x + 10 < - 2$.
$3x+10 - 10<-2 - 10$, which simplifies to $3x<-12$. Then divide both sides by 3: $x < - 4$.

Step2: Solve the second inequality

Subtract 10 from both sides of $13 < 3x + 10$.
$13-10 < 3x+10 - 10$, which simplifies to $3 < 3x$. Then divide both sides by 3: $1 < x$.

Answer:

Inequality Notation: $x < - 4$ or $x>1$
Number - Line: Mark an open - circle at $x = - 4$ and shade to the left, mark an open - circle at $x = 1$ and shade to the right.