Question

ollware Infinite Alpebra 2 Absolute Value Inequalities Solve each Inequality and graph its solution. Name Samantha Cebalos 2/x(2 ܘ ܠ - ܙ\ (1 s 18 ܀ 5 \4 + \ (2 ܛܠܣܛܬ ܓ 3ܬܐ ܀ balza-arlo. -[0+AM -sܬܐܪ 3) 0ܐ >5x1\ (4

Answer 1

| x -2 | -5 < -2

| x -2 | < -2 +5

| x - 2 | < 3

This implies

x-2 < 3 and x - 2 > -3

From x - 2 < 3

x < 3+2

x < 5

From x - 2 > -3

x > -3 + 2

x > -1

Thus, -1 < x and x < 5

So the inequality solution is -1 < x < 5