Respuesta :

The values of x in the inequalities are x< -2 and x < 4

How to determine the values

Given the inequalities;

  • -3x+2<8
  • 1/2x-5<-3

To determine the value of x for each, we have;

-3x + 2 < 8

collect like terms

-3x < 8 - 2

-3x < 6

Make 'x' the subject

x < 6/ -3

x< -2

1/2x - 5 < -3

Find the Lowest common multiple

x - 10 / 2 < -3

cross multiply

x - 10 < -3 × 2

x - 10 < -6

collect like terms

x < - 6 + 10
x < 4

Thus, the values of x in the inequalities are x< -2 and x < 4

Learn more about inequalities here:

https://brainly.com/question/25275758

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