Evaluate the inequality |5x−8|+9≥7. Then give the solution in interval notation.
|5x−8|+9≥0|5x−8|≥−2Subtract 9 on each side
By using the property of Absolute value, we have
5x−8≥−2or5x−8≤−(−2)5x−8≥−2or5x−8≤25x≥6or5x≤10Add 8 on each sidex≥65orx≤2Divide each side by 5 and solve for x.
Since the inequalities are joined with or, find the union of two union of the two solution. The union is shown and is
written as (−∞,∞)
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