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Numerical Inequalities · Question 47 of 79

Question 47

MediumOriginal question

Solve x+12≥x−23+1\frac{x + 1}{2} \ge \frac{x - 2}{3} + 1.

Options for question 47

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Multiply by 6, which is positive: 3(x+1)≥2(x−2)+63(x + 1) \ge 2(x - 2) + 6.

  2. 3x+3≥2x+23x + 3 \ge 2x + 2, so x≥−1x \ge -1.

Worth noting

x≥−5x \ge -5 multiplies the fractions by 6 but leaves the +1+1 as 1 instead of 6.

Concept
An inequation with fractions
Typical time
90 s
Your time
—
The rule this testsSolving inequations
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Ten questions from Numerical Inequalities, at your own pace.

Practise this chapter →

Ten questions from Numerical Inequalities, at your own pace.