Question

solve the inequality for x.\
\
\\(-10 \geq 6x + 8\\)\
\
simplify your answer as much as possible.

Explanation:

Step1: Subtract 8 from both sides

To isolate the term with \(x\), we subtract 8 from both sides of the inequality \(-10 \geq 6x + 8\). This gives \(-10 - 8 \geq 6x + 8 - 8\), which simplifies to \(-18 \geq 6x\).

Step2: Divide both sides by 6

Now, we divide both sides of the inequality \(-18 \geq 6x\) by 6 to solve for \(x\). So, \(\frac{-18}{6} \geq \frac{6x}{6}\), which simplifies to \(-3 \geq x\) or equivalently \(x \leq -3\).

Answer:

\(x \leq -3\)