Question

question 1-8
what is the solution set for the inequality, $3x + 5 \geq 7x - 12$?
\bigcirc $x \geq -1.7$
\bigcirc $x \geq -1.75$
\bigcirc $x \geq 4.25$
\bigcirc $x \leq 4.25$

Explanation:

Step1: Subtract 3x from both sides

To isolate the x terms, we subtract \(3x\) from both sides of the inequality \(3x + 5\geq7x - 12\). This gives us \(5\geq4x - 12\).

Step2: Add 12 to both sides

Next, we add 12 to both sides to isolate the term with x. So, \(5 + 12\geq4x\), which simplifies to \(17\geq4x\).

Step3: Divide both sides by 4

Now, we divide both sides by 4 to solve for x. This gives us \(\frac{17}{4}\geq x\), or \(x\leq4.25\) (since \(\frac{17}{4}=4.25\)).

Answer:

D. \(x \leq 4.25\)