An acute angle measure (6x-45). Write an inequality to describe the range of all possible values of x?

Question

4TheLoveOfPhysics · Accepted Answer

6x-45 < 90, since acute angles are less than 90°. Solving this: 6x < 90 + 45 6x < 135 x < 22.5

R_scott · Answer

acute means less than 90º 0 < (6x - 45) < 90

4TheLoveOfPhysics · Answer

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

4TheLoveOfPhysics · Answer

Another mistake on my behalf: 7.5 < x < 22.5 should be right.