Question

solve the inequality and graph the solution on the line provided.
6x + 19 > -5
answer attempt 1 out of 10
< > ≤ ≥ 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: Subtract 19 from both sides

To isolate the term with \( x \), we subtract 19 from both sides of the inequality \( 6x + 19 > -5 \). This gives us \( 6x + 19 - 19 > -5 - 19 \), which simplifies to \( 6x > -24 \).

Step2: Divide both sides by 6

To solve for \( x \), we divide both sides of the inequality \( 6x > -24 \) by 6. This gives us \( \frac{6x}{6} > \frac{-24}{6} \), which simplifies to \( x > -4 \).

Answer:

Inequality Notation: \( x > -4 \)
For the number line: There should be an open circle at -4 (since the inequality is \( > \), not \( \geq \)) and a line drawn to the right of -4 to represent all values of \( x \) greater than -4.