Question

question
solve for x and graph the solution on the number line below. if possible, resolve your answer to a single inequality. in case of no solution (∅), leave the number line blank.
17 > -5x - 3 and -63 < -5x - 3
answer attempt 1 out of 2
inequality notation:
number line:
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Explanation:

Step1: Solve the first - inequality

Add 3 to both sides of $17 > - 5x - 3$: $17+3>-5x - 3 + 3$, which simplifies to $20 > - 5x$. Then divide both sides by - 5 and reverse the inequality sign (since dividing by a negative number), we get $x>-4$.

Step2: Solve the second - inequality

Add 3 to both sides of $-63 < - 5x - 3$: $-63 + 3<-5x-3 + 3$, which simplifies to $-60 < - 5x$. Divide both sides by - 5 and reverse the inequality sign, we get $x < 12$.

Answer:

$-4 < x < 12$