Question

you have $37.85 do you want to buy some tape that each cost $4.95 write and solve inequality to estimate the greatest number of tapes that you can buy

Answer 1

Cost of tape: 4.95
no. of tape : x
budget : 37.85

4.95x < 37.85

+++
4.95x  < 37.85
÷4.95      ÷4.95
       x < 7.65

* you have to buy tapes that are less than 7.65 

Assuming you bought 7 tapes.
4.95x    < 37.85
4.95(7) < 37.85
34.65    < 37.85   *inequality is correct

If you buy more than 7 tapes, then, the cost of the tapes will be more than your budget. making the inequality incorrect.