### Home > MC2 > Chapter 5 > Lesson 5.2.4 > Problem 5-78

5-78.

**Solve each of the following inequalities. Represent the solutions algebraically (with symbols) and graphically (on a number line). Homework Help ✎**

**3****x****– 4 < 3 – 2****x**

Solve each inequality like you would solve any equation.

Solve for the variable by isolating the variables and number values.

3*x* − 4 < 3 − 2*x*

+ 2*x* + 2 *x*

Note: Steps 1 and 2 can happen in any order.

5*x* − 4 < 3

+4 +4

5*x* + 0 < 7

Simplify.

5*x* < 7

Use this simplified inequality to create a number line similar to problem 4-68.

Now try part (b) using the same strategy.