Solve the inequality 2x+10 ≥ 7x/2-5

Correct Answer is : x≤10x ≤ 10x≤10

Correct Answer is : x≤10x ≤ 10x≤10

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BECE Mathematics 2014 Paper

Question : 36

Total: 40

2x+10 \geq \frac{7x}{2}-5

Solution:

2x+10 \geq \frac{7x}{2}-5

Get rid of the fraction by multiplying both sides of the equation by the denominator (2)

2 \times 2x+2 \times 10 \geq 7x-2 \times 5

4x+20 \geq 7x-10

4x-7x \geq -10-20

-3x \geq -30

Divide both sides by -3 . When dividing by a negative the sign changes.

x \leq \frac{-30}{-3}

x \leq 10

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