If x > 2m + 1 and the solution set of x > - M-3 is x > 2, then the value of M is A system of inequalities in elementary school | Math enthusiast | Mathematical art

If x > 2m + 1 and the solution set of x > - M-3 is x > 2, then the value of M is A system of inequalities in elementary school

From x > 2m + 1, the solution set of x > - M-3 is x > 2
We can get 2 = 2m + 1 > - M-3 or 2 = - M-3 > 2m + 1 or 2 = - M-3 = 2m + 1
When 2 = 2m + 1 > - M-3, the solution is m = 1 / 2
When 2 = - M-3 > 2m + 1, the solution is m = - 5
When 2 = - M-3 = 2m + 1, there is no solution
So m = 1 / 2 or M = - 5

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