Asked by Hailey Haskett

An acute angle measure (6x-45). Write an inequality to describe the range of all possible values of x?
Answered by 4TheLoveOfPhysics
6x-45 < 90, since acute angles are less than 90°.

Solving this:
6x < 90 + 45
6x < 135
x < 22.5
Answered by R_scott
acute means less than 90º

0 < (6x - 45) < 90
Answered by 4TheLoveOfPhysics
Oops! I made a mistake. R_scott is right. I forgot the lower range... of course an angle has to be greater than 0°...

Thus, the correct range is 0 < x < 22.5
Answered by 4TheLoveOfPhysics
Another mistake on my behalf: 7.5 < x < 22.5 should be right.
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