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EastWind [94]
1 year ago
12

If x€{-2,-1,0,1,2,3,4,5} find the solution set 7-x>0 ii 3-4x>-2 vi 3x+4>-2​

Mathematics
1 answer:
maw [93]1 year ago
8 0

Answer:

i) {-2 , -1 , 0 , 1  ,2 , 3 , 4 , 5}

ii) {-2 , -1 , 0 , 1}

iii) {-1 , 0 , 1  ,2 , 3 , 4 , 5}

Step-by-step explanation:

i) 7 - x > 0

⇔ 7 > x

⇔ x < 7

⇔ x ∈ {-2 , -1 , 0 , 1  ,2 , 3 , 4 , 5}

____________________________

ii) 3 - 4x > -2

⇔ 3 + 2 > 4x

⇔ x < 5/4

⇔ x ∈ {-2 , -1 , 0 , 1}

____________________________

iii) 3x + 4 > -2​

⇔ 3x  > -2​ - 4

⇔ 3x  > -6

⇔ x  > -6/3

⇔ x  > -2

⇔ x ∈ {-1 , 0 , 1  ,2 , 3 , 4 , 5}

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Answer:

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Step-by-step explanation:

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I then simplified 8/-4 to -2

You could also solve by finding the rise over run for two points on the line.

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Now, Meg ran again in June. In June, she did 10 seconds faster. So it makes since that we need to subtract 10 from her April time, "y". Therefore, the expression is simply "y - 10".
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