Question

-20x+18≥-102 solve this inequality

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14h + 25 > 305

Which answer correctly interprets the inequality?

Mark worked at most 20 hours.
Mark worked more than 20 hours.
Mark worked at least 20 hours.
Mark worked less than 20 hours.

Answer 1

-20x >= -120

x < or = 6

14h > 280

h > 20

Explanation:

Mark worked more than 20 hours. The second equation

Answer 2

1) x≥6

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2) h > 20

Mark worked more than 20 hours.

Explanation:

1) -20x+18≥-102

-20x≥-102-18

-20x≥-120

Dividing -20 both side

`(-20)/(-20)x`≥
`(-120)/(-20)`

x≥6

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2) 14h + 25 > 305

14h > 305-25

14h > 280

Dividing 14 both side

`(14)/(14)h > (280)/(14)`

h > 20

Mark worked more than 20 hours.