he solution set is
{
x
∣
x
>
1
}
.
Explanation
For each of these inequalities, there will be a set of
x
-values that make them true. For example, it's pretty clear that large values of
x
(like 1,000) work for both, and negative values (like -1,000) will not work for either.
Since we're asked to solve a "this OR that" pair of inequalities, what we'd like to know are all the
x
-values that will work for at least one of them. To do this, we solve both inequalities for
x
, and then overlap the two solution set
(10+2x)(8+2x) = 120
4x^2 + 36x + 80 = 120
x^2 + 9x + 20 = 30
x^2 + 9x - 10 = 0
(x+10)(x-1) = 0
x = 1 inch dimension
Answer:
The taxi charges $10 as the flat rate for the first 3 miles and $2.50 for each additional mile.
Step-by-step explanation:
Rotation about a point does not change any dimensions. C'D' = CD = 2.8 units.
Answer:
The total cost for each health club will be the same after 4 months.
Step-by-step explanation:
- Let A = membership fee for studio A
- B = membership fee for studio B
We want to when the total cost at each health studio is the same.
In other words, when A = B.
Therefore, the expression becomes
Step 1: Simplify both sides of the equation.
Step 2: Subtract 18.25x from both sides.
Step 3: Subtract 22 from both sides.
Step 4: Divide both sides by 6.25
Therefore, the total cost for each health club will be the same after 4 months.
