Question

show what you know
solve the inequality $19 \geq 2x + 10$.

Explanation:

Step1: Subtract 10 from both sides

To isolate the term with \(x\), we subtract 10 from both sides of the inequality \(19 \geq 2x + 10\). This gives us \(19 - 10 \geq 2x + 10 - 10\), which simplifies to \(9 \geq 2x\).

Step2: Divide both sides by 2

Now, we divide both sides of the inequality \(9 \geq 2x\) by 2 to solve for \(x\). This results in \(\frac{9}{2} \geq x\), or equivalently \(x \leq \frac{9}{2}\) (which is \(x \leq 4.5\)).

Answer:

\(x \leq \frac{9}{2}\) (or \(x \leq 4.5\))