Six times a number is at least four less than eight times the number. If x represents the number, which will help find the numbe r?
2 answers:
(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:
The inequation 6x ≥ 8x - 4 can be used to find the solution.
The solution is x ≤ 2
Step-by-step 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
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