There is an infinite amount of fractions equivalent to the one given. All you have to do to find a fraction equivalent is multiply the numerator and denominator by the same number, and when you get the resulting fraction it can be simplified to become the original again, therefore making it the same.
Option C:
{x: –1 < x < 7}
Solution:
Given expression is (x – 2 < 5) ∩ (x + 7 > 6).
Let us first solve the inequality.
First inequality:
⇒ x – 2 < 5
Add 2 on both sides of the expression.
⇒ x – 2 + 2 < 5 + 2
⇒ x < 7
Second inequality:
⇒ x + 7 > 6
Subtract 7 on both sides of the expression.
⇒ x + 7 – 7 > 6 – 7
⇒ x + 7 – 7 > 6 – 7
⇒ x > –1
Now to find the intersection of these inequalities.
(x – 2 < 5) ∩ (x + 7 > 6) = (x < 7) ∩ (x > –1)
= (x < 7) ∩ (–1 < x)
= –1 < x < 7
Thus, option C is the correct answer.
(x – 2 < 5) ∩ (x + 7 > 6) = {x: –1 < x < 7}
I think that the answer is A) A and B if I am wrong I'm sorry
Answer:
Step-by-step explanation:
if he runs 9 miles a day for 30 days thats 9x30 its pretty simple math all you have to do is multiply it should be 270 miles in total. np abt the spammage