Question

1. what is the solution to the inequality \\(-31 > 6x + 11\\)?

\\(x > -7\\)

\\(x < -7\\)

\\(x > -\frac{10}{3}\\)

\\(x < -\frac{10}{3}\\)

Explanation:

⚡ Using what you learned: understanding inequalities

Step 1: Isolate the variable term

Subtract \( 11 \) from both sides of the inequality:

$$ -31 - 11 > 6x $$

$$ -42 > 6x $$

Step 2: Solve for \( x \)

Divide both sides by \( 6 \):

$$ \frac{-42}{6} > x $$

$$ -7 > x $$

This can be rewritten as:

$$ x < -7 $$

Answer:

\( x < -7 \)