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Numerical Inequalities · Question 45 of 79

Question 45

MediumOriginal question

How many integers xx satisfy −3≤2x−1<7-3 \le 2x - 1 < 7?

Options for question 45

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Add 1: −2≤2x<8-2 \le 2x < 8; halve: −1≤x<4-1 \le x < 4.

  2. The integers are −1,0,1,2,3-1, 0, 1, 2, 3: five of them.

Worth noting

6 counts 4 as well, but x<4x < 4 leaves it out.

Concept
Counting integer solutions
Typical time
90 s
Your time
—
The rule this testsSolving inequations
Practise this chapter →

Ten questions from Numerical Inequalities, at your own pace.

Practise this chapter →

Ten questions from Numerical Inequalities, at your own pace.