CamiahF652423 CamiahF652423
  • 03-11-2022
  • Mathematics
contestada

Solve (x+2<5) u ( x-7>6)

Respuesta :

MaelQ305261 MaelQ305261
  • 03-11-2022

You have the following opeartion between sets:

(x + 2 < 5) U (x - 7 > 6)

In order to find the solution to the previoues expression, you first find the solutionof each inequality, just as follow:

x + 2 < 5 subtract 2 both sides

x < 5 - 2

x < 3

The solution interval is (-∞,3)

x - 7 > - 6 add 7 both sides

x > - 6 + 7

x > 1

The solution interval is (1, ∞)

Then, you have:

(-∞,3) U (1,∞)

which is the same that:

{x| x<3 or x>1}

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