Question

Solve the equation below:

1/2y - 9 > 1

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

Answer 1

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}`