SOLUTION: three fourths of a number increased by 32 is no more than 58. i cant figure it out please get back to me before 3:30

Question 529979: three fourths of a number increased by 32 is no more than 58. i cant figure it out please get back to me before 3:30
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
I believe they mean that after figuring out three fourth the number, then you increase that by 32. That would be, following tradition by calling the mistery number ,

If it's no more than 58, then it's less than or equal to 58, so

You do the same operations to both sides, carefully undoing what has been done to .
First we subtract 32 (undoing the last thing done) to get
or
Then we undo the three fourths calculation/multiplication by dividing by, which means mutiplying by
to get
or or
CAUTION:
When multiplying/dividing both sides of an inequality by the same number, you have to be careful. If the number is negative, you have to flip < to > and viceversa. For example, it should be obvious that if
then multiplying both sides by
it makes sense to get .
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