Error: Written as an and compound inequality Correct Solution: x<- 17 or x>9
Practice makes perfect
Consider the given exercise.
To solve absolute value inequalities we must write the given inequality as two separate cases. If we have an inequality of the form |x+a|>b, with b being a non-negative number, we can write it as a compound inequality.
x+a < - b or x+a>b
Already here we can find a mistake. When splitting up the inequalities, the word and is used instead of or. The inequality signs are also wrong! Let's solve the inequality by correcting this mistake.
