Question

What is 6x-13<6(x-2)

Answer 1

(-infinity, infinity)

Explanation:

6x-13<6(x-2)

6x-13<6x-12

6x-6x<-12+13

0<1

Answer 2

For this case we have the following inequality:

`6x-13 <6 (x-2)`

To find the solution we follow the steps below:

We apply distributive property on the right side of inequality:

`6x-13 <6x-12`

Adding 13 to both sides of the inequality we have:

`6x <6x-12 + 13\\6x <6x + 1`

We subtract 6x on both sides of the inequality:

`0 <1`

Thus, we have that any value of "x" makes the inequality fulfilled. Thus, the solution is given by all real numbers.

Answer:

The solution set is (-∞,∞)