Question

Complete the sentence to make it true.The solution to the inequality 13 (x – 6) > 2 is x ________ ________.the options are: greater or less than:018126

Answer 1

We have the following inequality:

$13(x-6)>2$

and we need to solve for x.

Then, by dividing both sides by 13, we have

$x-6>\frac{2}{13}$

and by adding 6 to both sides, we obtain

$x>\frac{2}{13}+6$

which can be written as

$x>\frac{2}{13}+\frac{78}{13}$

so, we can add the fractions and get

$x>\frac{80}{13}$

Finally, by converting this result into mixed fraction form, we have

$x>6\frac{2}{13}$

Therefore, the answer is: x is greater than 6.