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lidiya [134]
2 years ago
11

Solve the equation below:

Mathematics
1 answer:
maria [59]2 years ago
6 0
<h3><u>Explanation</u></h3>
  • 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.

<u>Substitute</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>20</u><u> </u><u>in</u><u> </u><u>the</u><u> </u><u>Inequality</u><u>.</u><u> </u>

<u>\frac{20}{2}  - 9 > 1 \\ 10 - 9 > 1 \\ 1 > 1 \longrightarrow \sf{false}</u>

<u>Substitute</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>21</u><u> </u><u>in</u><u> </u><u>the</u><u> </u><u>Inequality</u><u>.</u><u> </u>

<u>\frac{21}{2}  - 9 > 1 \\ 21 - 18 > 2 \\ 3 > 2 \longrightarrow \sf{true}</u>

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

<h3><u>Answer</u></h3>

<u>\large \boxed{y > 20}</u>

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