Question

What is the solution to the inequality?

A. y > 32
B. y > 2
C. y < 2
D. y < 32​

Answer 1

`\textbf{Heya !}`

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`\bigstar\textsf{Given:-}`✏

• An inequality
  `\sf{-\cfrac{y}{4}+7 > -1}`

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`\bigstar\textsf{To\quad find:-}`✏

• y -- ?

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`\bigstar\textsf{Solution\quad steps:-}`✏

First, subtract both sides by 7:-

`\sf{-\cfrac{y}{4} > -1-7}}`

`\sf{-\cfrac{y}{4} > -8}`

Now multiply both sides by 4:-

`\sf{-y > -8*4}`

`\sf{-y > -32}`

last step:-

`\sf{y < 32}`

`hope it was helpful to u ~

Answer 2

• Option A. y > 32 is correct!!

Step-by-step explanation :

`\implies \: \sf{ - (y)/(4) \: + \: 7 \: > \: - 1} \\ \\ \implies \: \sf{ - (y)/(4) \: > \: - 7 \: - 1} \\ \\ \implies \: \sf{ - (y)/(4) \: > \: - 8} \\ \\ \implies \: \sf{ \cancel- \: (y)/(4) \: > \: \cancel- \: 8} \\ \\ \implies \: \sf{ (y)/(4) \: < \: 8} \\ \\ </p><p>\implies \: \sf{ y \: < \: 8 * 4} \\ \\ \implies \: \bf{ y \: < \: 32}`