Question

Solve the equation below:
1/2y - 9 > 1

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

Answer 1

Explanation

• Given the Inequality.

$\frac{1}{2} y - 9 > 1$

• Rewrite the Inequality.

$\frac{y}{2} - 9 > 1$

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

$\frac{y}{2} > 1 + 9 \\ \frac{y}{2} > 10 \\ y > 10 \times 2 \\ y > 20$

• 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.

$\frac{20}{2} - 9 > 1 \\ 10 - 9 > 1 \\ 1 > 1 \longrightarrow \sf{false}$

Substitute y = 21 in the Inequality.

$\frac{21}{2} - 9 > 1 \\ 21 - 18 > 2 \\ 3 > 2 \longrightarrow \sf{true}$

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

Answer

$\large \boxed{y > 20}$