Question

solve the inequality for x.
30 - 3x > 4x + 2
simplify your answer as much as possible.

Explanation:

Step1: Add 3x to both sides

To get rid of the -3x on the left, we add 3x to both sides of the inequality \(30 - 3x>4x + 2\). This gives us \(30>7x + 2\).

Step2: Subtract 2 from both sides

Now, we subtract 2 from both sides to isolate the term with x. So, \(30 - 2>7x\), which simplifies to \(28>7x\).

Step3: Divide both sides by 7

Divide both sides of the inequality \(28>7x\) by 7. This gives us \(4>x\), or equivalently \(x < 4\).

Answer:

\(x < 4\)