Ages of Dan and Cary are 29 and 33 respectively.
<u>Step-by-step explanation:</u>
Step 1:
Form equations out of the given details. Let the age of Dan be x, then age of Cary is x + 4.
In 7 years, sum of their ages = 76
⇒ (x + 7) + (x + 4 + 7) = 76
⇒ 2x + 18 = 76
⇒ 2x = 58
⇒ x = 29
Step 2:
Calculate age of Cary.
⇒ x + 4 = 33
Answer:
Whitney made 6 baskets
Step-by-step explanation:
Let the number of baskets made by Whitney be x.
The 15 baskets made by
Chiyann is equal to 2 times plus 3 what Whitney made
Mathematically what she made would be 2x + 3
To get x, we equate this equation to 15
2x + 3 = 15
2x = 12
x = 12/2
x = 6 baskets
D- 2x-1
plug in a number for x and you'll see
The given statement is false because it isn't an empty set!
<u>Step-by-step explanation:</u>
We have following sets of inequalities:

From
we get ,

Therefore solution set is x=2.
Now, for
we get ,

Therefore solution set is x>2.
For
we get ,

Therefore solution set is x<2.
Now, the union of x=2, x<2 & x>2 is -∞<x<∞. i.e. all possible values of x. And so above statement is false because it isn't an empty set!