> 0
First, note that x is undefined at 5. / x ≠ 5
Second, replace the inequality sign with an equal sign so that we can solve it like a normal equation. / Your problem should look like:
= 0
Third, multiply both sides by x - 5. / Your problem should look like: 3x - 5 = 0
Forth, add 5 to both sides. / Your problem should look like: 3x = 5
Fifth, divide both sides by 3. / Your problem should look like: x =
Sixth, from the values of x above, we have these 3 intervals to test:
x <
< x < 5
x > 5
Seventh, pick a test point for each interval.
1. For the interval x <
:
Let's pick x - 0. Then,
> 0
After simplifying, we get 1 > 0 which is true.
Keep this interval.
2. For the interval
< x < 5:
Let's pick x = 2. Then,
> 0
After simplifying, we get -0.3333 > 0, which is false.
Drop this interval.
3. For the interval x > 5:
Let's pick x = 6. Then,
> 0
After simplifying, we get 13 > 0, which is ture.
Keep this interval.
Eighth, therefore, x <
and x > 5
Answer: x <
and x > 5
Answer:
-5x=-23
Or
X=23/5
Step-by-step explanation:
Answer: The age of the twins is 10 years.
Step-by-step explanation:
Suppose the age of older sister be x
Let the age of twins sister be x-9, as they are born after 9 years.
Product of their ages be
Sum of their ages will be
According to question,
So, Age of older sister will be 19 years.
Age of the twins will be
Hence, the age of the twins is 10 years.
Answer:
Sue has traveled 124 miles.
Step-by-step explanation:
Here, the distance covered by Sue is a fraction of the total distance to be covered.
The total distance to her aunt's = 372 miles
but the gas station is at one-third of the distance to be covered.
Thus,
Miles traveled by Sue = x 372
= 124
Miles traveled by Sue = 124 miles.
Therefore Sue has traveled 124 miles.
One is Iraq! :) (Hope this helps!)