Question

Six times a number is at least four less than eight times the number. If x represents the number, which will help find the number?

Answer 1

(X x 6) = (X x 8) -4

Ps. Make sure yoi dont times the (X x 8) by -4 the -4 is by itself.

I personally found it easier thinking if there is a difference of 4 between 6 x X and 8x X then it must be 2x2 as the difference between 6 and 8 is 2. therefore 4 divided by 2 = 2 and 2 x 2 = 4

Therefore x = 2

Answer 2

The inequation 6x ≥ 8x - 4 can be used to find the solution.

The solution is x ≤ 2

Explanation:

In math, 'at least' represents greater or equal than (which is the inequation simbol ≥)

If x represents the number then six times a number is the multiplication of x by 6, and four less than eight times the number can be written as: 8x -4

6x ≥ 8x - 4

Solving the inequation;

Substracting 6x each side:

0 ≥ 8x - 6x -4

Suming 4 each side

4 ≥ 2x

Dividing by 2 each side

2 ≥ x

2 greater or equal than x is the same as:

x ≤ 2