Question

17

Select the correct answer from the drop-down menu.
A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as
x+2x+6 < 50, where x represents the smaller number.
From the set {13, 14, 15, 16, 17), the values of x for which the inequality holds true are
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Answer 1

13 and 14

Explanation:

From the inequality

x + 2 x + 6 < 50

we work out the answer for x isolating it on one side of the inequality as shown below

3 x + 6 < 50

3 x < 50 - 6

3 x < 44

x < 44/3 ≅ 14.6666...

Therefore, select from the set the numbers: 13 and 14.