To solve the inequality |0.5x-2|>9, we can split it into two separate inequalities:
0.5x-2 > 9
and
0.5x-2 < -9
Solving the first inequality:
0.5x-2 > 9
0.5x > 11
x > 22
Solving the second inequality:
0.5x-2 < -9
0.5x < -7
x < -14
Therefore, the solution to the inequality |0.5x-2| > 9 in interval notation is (-∞, -14) U (22, +∞).
Solve the inequality. Write the solution in interval notation.
|0.5x-2|>9
1 answer