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BECE Mathematics 2019 Paper

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Question : 17

Total: 40

Find the truth set of the inequality

2y+5<4y-5

$\;\;\{y: y>5\}$
$\;\;\{y: y<5\}$
$\;\;\{y: y>1\}$
$\;\;\{y: y>0\}$

Solution:

Concept:

Inequality rules allow terms to be rearranged just like equations.

Explanation:

Start with the inequality

2y+5<4y-5

.

Rearrange to bring

y

terms on one side:

5+5<4y-2y

This simplifies to

10<2y

.

Divide both sides by

2

:

\frac{10}{2} < \frac{2y}{2}

So,

5 < y

.

This can also be written as

y>5

.

Answer:

The truth set is

\{y: y>5\}

, which is option A.

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