Question

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.

Answers

  1. The smaller number that we can take is x = 14, and in that case, the value of the other number is y = 34

    How to write the inequality?

    First, we have two numbers, x and y, such that:
    y = 6 + 2*x
    “the first number is 6 more than 2 times another number”.
    Now we know that the sum of these two numbers is smaller than 50, then we can write:
    x + y < 50
    Replacing y by the above equation we get:
    x + 6 + 2x <  50
    3x + 6 < 50
    Now we can solve that inequality for x:
    3x < 50 – 6 = 44
    x < 44/3 = 14.6
    And x can only be a whole number, then:
    x ≤ 14
    The smaller number that we can take is x = 14, and in that case, the value of the other number is:
    y = 6 + 2*14 = 34
    If you want to learn more about inequalities:
    #SPJ1

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