x-Intercept Method(Refer to Example) Use the x-intercept method to solve the inequality. W...

x-Intercept Method(Refer to Example) Use the x-intercept method to solve the inequality. Write the solution set in set-builder or interval notation. Then check your answer by solving the inequality symbolically.

Example

Applying thex-intercept method

Solve the inequality  by using the x-intercept method. Write the solution set in set-builder and interval notation.

SOLUTION

Graphing by Hand First, use properties of inequalities to rewrite the given inequality so that 0 is on the right side.

Next, graph  and locate the x-intercept 2. From Figure, y1 > 0 when x < 2 and the solution set is {x|x < 2}, or (– ∞, 2).