The inequality 2(4x+1)<3(2x-3) is x=-11/2
We have given that,
[tex]2\left(4x+1\right) < 3\left(2x-3\right)[/tex]
We have to determine the value of the x
What is inequality?
Inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
[tex]8x+2 < 6x-9[/tex]
Subtract 2 from both sides
[tex]8x+2-2 < 6x-9-2[/tex]
Simplify
[tex]8x < 6x-11[/tex]
subtract
[tex]8x-6x < 6x-11-6x[/tex]
Simplify
[tex]2x < -11[/tex]
divide 3 both sides by 2
x=-11/2
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