acetrollinghd acetrollinghd
  • 19-12-2020
  • Mathematics
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State all integer values of x in the interval (2,8) that satisfy the following inequality:
5x + 4 > 19

State all integer values of x in the interval 28 that satisfy the following inequality 5x 4 gt 19 class=

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 24-12-2020

Answer:

3,4,5,6 and 7

Step-by-step explanation:

Given

[tex]5x + 4 \ge 19[/tex]

Required

State the values of x within 2 and 8

[tex]5x + 4 \ge 19[/tex]

Collect Like Terms

[tex]5x \ge 19 - 4[/tex]

[tex]5x \ge 15[/tex]

Divide both sides by 5

[tex]\frac{5x}{5} \ge \frac{15}{5}[/tex]

[tex]x \ge 3[/tex]

(2,8) is an open interval which means that 2 and 8 are not inclusive of the values of x.

So:

The values of [tex]x \ge 3[/tex] are: 3,4,5,6 and 7

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