Inequalities are used to show the relationship between unequal expressions.
See attachment for the graph of [tex]4x - 5\ge 3[/tex] or [tex]5 - x > 8[/tex]
Given that:
[tex]4x - 5\ge 3[/tex] or [tex]5 - x > 8[/tex]
First, we solve for x.
[tex]4x - 5\ge 3[/tex]
Collect like terms
[tex]4x \ge 3+5[/tex]
[tex]4x \ge 8[/tex]
Divide by 4
[tex]x \ge 2[/tex]
[tex]5 - x > 8[/tex]
Collect like terms
[tex]-x > 8 - 5[/tex]
[tex]-x > 3[/tex]
Divide by -1
[tex]x < -3[/tex]
So, we have:
[tex]4x - 5\ge 3[/tex] or [tex]5 - x > 8[/tex] becomes
[tex]x \ge 2[/tex] or [tex]x < -3[/tex]
The graphs are not given. So, I've added as an attachment, the graphs of [tex]x \ge 2[/tex] or [tex]x < -3[/tex]
Read more about graphs of inequalities at:
https://brainly.com/question/15748955
