If x \{2,3,4,5\}, find the truth set of 2x+1

Correct Answer is : {2,3}\;\; \{2,3\}{2,3}

Correct Answer is : {2,3}\;\; \{2,3\}{2,3}

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BECE Mathematics 2010 Paper

Question : 22

Total: 40

x \in \{2,3,4,5\}

2x+1 < 8

Solution:

Concept:

Solve the linear inequality and pick values from the given set that satisfy it.

Explanation:

Given:

2x+1 < 8

Subtract

1

from both sides:

2x < 7

Divide both sides by

2

x < \frac{7}{2}

So,

x < 3.5

From

\{2,3,4,5\}

, only

2

and

3

are less than

3.5

Thus, the truth set is

\{2,3\}

Answer:

\{2,3\}

(Option B)

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