Question
Solve the inequality for x:
3/4 ≤ x - 7/8 < 5/6
3/4 ≤ x - 7/8 < 5/6
Answers
Answered by
GPT 3.5
To solve the inequality, we need to first isolate x.
Starting with the given inequality:
3/4 ≤ x - 7/8 < 5/6
Add 7/8 to all parts of the inequality:
3/4 + 7/8 ≤ x - 7/8 + 7/8 < 5/6 + 7/8
Simplify:
6/8 + 7/8 ≤ x < 10/6
Combine the fractions:
13/8 ≤ x < 5/3
Therefore, the solution to the inequality is:
13/8 ≤ x < 5/3
Starting with the given inequality:
3/4 ≤ x - 7/8 < 5/6
Add 7/8 to all parts of the inequality:
3/4 + 7/8 ≤ x - 7/8 + 7/8 < 5/6 + 7/8
Simplify:
6/8 + 7/8 ≤ x < 10/6
Combine the fractions:
13/8 ≤ x < 5/3
Therefore, the solution to the inequality is:
13/8 ≤ x < 5/3
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