For this case, the first thing to do is substitute the value of x = 2 in each of the compound inequations and verify that the inequations are met.
We have then:
For 4 <5x - 1 <10:
4 <5 (2) - 1 <10
4 <10 - 1 <10
4 <9 <10
The inequality is fulfilled.
For 4 <5x - 3 <10:
4 <5 (2) - 3 <10
4 <10 - 3 <10
4 <7 <10
The inequality is fulfilled.
For 4 <5x - 7 <10:
4 <5 (2) - 7 <10
4 <10 - 7 <10
4 <3 <10
The inequality is not fulfilled.
For 4 <2x + 1 <10
4 <2 (2) + 1 <10
4 <4 + 1 <10
4 <5 <10
The inequality is fulfilled.
For 4 <2x + 3 <10:
4 <2 (2) + 3 <10
4 <4 + 3 <10
4 <7 <10
The inequality is fulfilled.
For 4 <2x + 6 <10
4 <2 (2) + 6 <10
4 <4 + 6 <10
4 <10 <10
The inequality is not fulfilled.
