Question

you have to test tomorrow you plan to study at least 4 hours tonight you want to study social studies for more than half the time you study english plus 1 hour. write a sstem of linear inequalities that represent this situation

Answer 1

4, is less than or equal to, 2x + 1 is greater than x

Answer 2

s+g ≥ 4

s > g/2 + 1

Explanation:

Hi, you want to study at least 4 hours.

So, the social studies hours of study (5) plus the English hours of study (e) must be higher or equal to 4 (hours)

s+e≥ 4

The time spent studying social studies(s) must be higher than half the time spent studying English (e/2) plus 1 hour.

s > e/2 + 1

So, the system of inequalities is:

s+e ≥ 4

s > e/2 + 1