Question

Extend to find solutions that fit a second constraint in the formx *a, where inequality symbol and a is an integer. For example solve 3x + 4 >10, then find integers that satisfy bothx < 6 and 3x +4 >10.

Answer 1

`x = \{3,4,5\}`

Explanation:

Given

`3x + 4 > 10`

`x < 6`

Required

Solve

We have:

`3x + 4 > 10`

Collect like terms

`3x > 10 - 4`

`3x > 6`

Divide by 3

`x > 2`

So, we have:

`x > 2` and
`x < 6` i.e. between 2 and 6 (exclusive)

This implies that:

`x = \{3,4,5\}`