Question

 You get scores of 85 and 91 on two history tests. 

Write and solve an inequality to find the scores you can get on your next history test 
 

Answer 1

The scores already obtained cannot influence the score of another test.

So the score S of this test could be less than 85, that is, S<85.

It could be between 85 and 91, that is, 85<S<91.

Or it could be more than 91, that is, S>91.

It could also be the same as either of the other scores:

S≤85, 85≤S≤91, or S≥91.

If the scores are percentages then one inequality could be 91≤S≤100.

Even if the score were to be 100 (percent) on the test the total T of all the scores could not exceed 100+85+91=276, so T≤276.

S+176≤276, because T=S+176.