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

Answer:

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

Step-by-step 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:

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