Answer:
We have the system:
x ≤ 7
x ≥ a
Now we want to find the possible values of a such that the system has, at least, one solution.
First, we should look at the value of a where the system has only one solution:
We can write the 2 sets as:
a ≤ x
x ≥ 7
So, writing both together:
a ≤ x ≤ 7
if a is larger than 7, we do not have solutions.
then a = 7 gives:
7 ≤ x ≤ 7
Here the only solution is 7.
Now, if a is smaller than 7, for example 5, we have:
5 ≤ x ≤ 7
Now x can take different values, so we have a lot of solutions.
Then the restrictions for a, such that the system has at least one solution, is:
a ≤ 7.
Answer:
Error was at the fourth line: 12 = 16x
Correct solution: x = ½
Step-by-step explanation:
Let's solve the equation step by step to find the correct solution, and also, to find out at which line Cam made a mistake.
10 - 2x = 19x + 2 - 5x (given)
10 - 2x = 19x - 5x + 2
10 - 2x = 14x + 2
Add 2x to both sides
10 - 2x + 2x = 14x + 2 + 2x
10 = 14x + 2x + 2
10 = 16x + 2
Subtract 2 from both sides
10 - 2 = 16x + 2 - 2
8 = 16x (this is where Cam made an error, at the fourth line. He wrote: 12 = 16x. It seems Can only subtracted 2 from the right, then added 2 to the left. Subtraction property of equality was not properly done.)
Proceeding further with our calculation, we would divide both sides by 16
8/16 = 16x/16
½ = x
x = ½.
Answer:
I believe one flash drive would cost $16.50.
Step-by-step explanation:
55=2x+22
-22 -22
33=2x
/2 /2
16.50=x
Hope this helps! Have an Amazing day!!
Answer:
x=90º
Step-by-step explanation:
x=60+30
x=90
Answer: 9 (w + 8)
Step-by-step explanation:
9/9 = 1
72/9 = 8
9 (w + 8)
