Question

If X € { -3,-2,-1,0,1,2,3}, find the solution set of :
2x–1<4​

Answer 1

this is the answer

hope it helps you a lot

Answer 2

Solution:

Given: {x ∈ Z, -3 ≤ x ≤ 3} and 2x - 1 < 4

If x = -3

2x - 1 < 4

2(-3) - 1 < 4

-6 - 1 < 4

-7 < 4

This is true, then the solution set that can satisfy the inequality are {-3, -7},
{-2, -5}, {-1, -3}, {0, -1}, {1, 1}, {2, 3}

If x = 3

2x - 1 < 4

2(3) - 1 < 4

6 - 1 < 4

5 < 4

This is false, then this is not part of the solution set that can satisfy the inequality.

Since x is integers, Z = 3 ≤ x ≤ 3

Solution set = {-3,….,0,…,2} only.

Hope this will be helpful to you.