Question

Solve the compound inequality 4x – 7 > 5 or 5x + 4 ≤ –6

Answer 1

inequality form: x
`\leq` -2 or x > 3

interval notation form: (-∞,-2] ∪ (3,∞)

Explanation:

I attached a picture that shows all the work. You begin by isolating then solving for x on both sides. Then form a solution using the information found out about x. For example, you can combine the found inequalities for x to solve that x must be GREATER than 3 while being LESS than -2. Using that you can form an line and make a line. Remember, when writing in interval notation form you always begin from the left to the right (in reference) to the number line.