Question

Solve 4x-5<5x-2<4x+2 using algebraic methods.

Answer 1

To solve the inequality 4x-5<5x-2<4x+2, subtract 4x from all three parts of the inequality to get -5<-2<2. The solution is -5

Step-by-step explanation:

To solve the inequality 4x-5<5x-2<4x+2, we need to isolate the variable x. Here's how we can do it:

1. Subtract 4x from all three parts of the inequality: -5<-2<2.
2. Since -5 is less than -2 and -2 is less than 2, the solution for the inequality is -5