There is no solution to the given inequality [tex]4x - 6 > 2x - (4 - 2x)[/tex]
Step-by-step explanation:
We need to solve the inequality [tex]4x - 6 > 2x - (4 - 2x)[/tex]
Solving:
[tex]4x - 6 > 2x - (4 - 2x)[/tex]
Multiplying - with (4-2x)
[tex]4x - 6 > 2x - 4 +2x[/tex]
Adding like terms 2x and 2x
[tex]4x - 6 > 2x+2x-4[/tex]
[tex]4x - 6 > 4x-4[/tex]
Adding 6 on both sides
[tex]4x - 6+6 > 4x-4+6[/tex]
[tex]4x > 4x+2[/tex]
Adding -4x on both sides
[tex]4x -4x > 4x-4x+2[/tex]
[tex]0 > 2[/tex]
So, solving the given inequality we get [tex]0 > 2[/tex] but we couldn't find any value of x
So, there is no solution to the given inequality [tex]4x - 6 > 2x - (4 - 2x)[/tex]
Keywords: Solving inequalities
Learn more about Solving inequalities at:
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