Hi. I need help with this question : Question : y is such that and :
I). What range of values satisfies both inequalities ?
II). Hence, express
in the form of
where a and b are both integers.

Please show workings.

9514 1404 393

  -4 ≤ y ≤ 7

Step-by-step explanation:

Solve the inequalities separately, then identify the intersection of the solution sets.

4y -7 ≤ 3y

  y -7 ≤ 0 . . . . . . . subtract 3y

  y ≤ 7 . . . . . . . . . add 7

3y ≤ 5y +8

  0 ≤ 2y +8 . . . . . . subtract 3y

  -8 ≤ 2y . . . . . . . . . subtract 8

  -4 ≤ y . . . . . . . . . . divide by 2

The intersection of the sets y ≤ 7 and -4 ≤ y is given by ...

  -4 ≤ y ≤ 7

8

step-by-step explanation: