Question

Eight less than four times a number is less than 56. What are the possible values of that number?

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Answer 1

x < 16

Explanation:

Let the number be represented by x.

Then four times the number = 4x

Eight less than four times the number = 4x-8

As per the given information, eight less than four times the number is less than 56.

`\[ =>  4x-8 < 56\]`

`\[ =>  4x < 64\]`

`\[ =>  x < 16\]`

So x can take values which are less than 16. In other words, the possible values of x which satisfy the given constraint is represented by x<16.

Answer 2

Explanation:

Let x be the number.

4x -8 < 56

x ={ ........-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}