Question

find the solution set of the inequality -4x + 35 > 2 x

Explanation:

Step1: Subtract 35 from both sides

To isolate the term with \( x \), we subtract 35 from both sides of the inequality \(-4x + 35>2\). This gives us \(-4x+35 - 35>2 - 35\), which simplifies to \(-4x>- 33\).

Step2: Divide by - 4 and reverse inequality

When we divide both sides of an inequality by a negative number, the direction of the inequality sign reverses. So, dividing both sides of \(-4x>-33\) by \(-4\), we get \(x<\frac{33}{4}\) (or \(x < 8.25\)).

Answer:

\(x<\frac{33}{4}\) (or \(x < 8.25\))