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Numerical Inequalities · Question 55 of 79

Question 55

HardOriginal question

Solve ∣2x+1∣≥5\lvert 2x + 1 \rvert \ge 5.

Options for question 55

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. ∣u∣≥5\lvert u \rvert \ge 5 means u≤−5u \le -5 or u≥5u \ge 5.

  2. 2x+1≤−52x + 1 \le -5 gives x≤−3x \le -3; 2x+1≥52x + 1 \ge 5 gives x≥2x \ge 2.

Worth noting

x≥2x \ge 2 alone forgets that 2x+12x + 1 can be −5-5 or less.

Concept
A modulus inequation with at least
Typical time
120 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.