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Solve the equation below:

1/2y - 9 > 1

A- y > 35
B- y > 20
C- y > 39
D- y > 15

User Kieranties
by
8.4k points

1 Answer

6 votes

Step-by-step explanation

  • Given the Inequality.


(1)/(2) y - 9 > 1

  • Rewrite the Inequality.


(y)/(2) - 9 > 1

  • Solve the Inequality for y-term by making y as the subject.


(y)/(2) > 1 + 9 \\ (y)/(2) > 10 \\ y > 10 * 2 \\ y > 20

  • Answer Check

We have to compare and consider both values which are y = 20 and any greater than 10 which is 21.

Substitute y = 20 in the Inequality.


(20)/(2) - 9 > 1 \\ 10 - 9 > 1 \\ 1 > 1 \longrightarrow \sf{false}

Substitute y = 21 in the Inequality.


(21)/(2) - 9 > 1 \\ 21 - 18 > 2 \\ 3 > 2 \longrightarrow \sf{true}

That means the value of y must be greater than 20. Hence the answer is B choice.

Answer


\large \boxed{y > 20}

User Ecbrodie
by
8.4k points

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