Answer:
Step-by-step explanation:
Here are the steps to follow when solving absolute value inequalities:
Isolate the absolute value expression on the left side of the inequality.
If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions.
If your problem has a greater than sign (your problem now says that an absolute value is greater than a number), then set up an "or" compound inequality that looks like this:
(quantity inside absolute value) < -(number on other side)
OR
(quantity inside absolute value) > (number on other side)
The same setup is used for a ³ sign.
If your absolute value is less than a number, then set up a three-part compound inequality that looks like this:
-(number on other side) < (quantity inside absolute value) < (number on other side)
The same setup is used for a £ sign
Answer:
Step-by-step explanation:
Your friend has a head start of (2 h)×(8 mi/h) = 16 mi.
When you leave, you gain on your friend at the rate of 40 mph - 8 mph = 32 mph. So, it will take ...
(16 mi)/(32 mi/h) = 1/2 h
for you to reduce the distance between you to zero.
In that 1/2 hour, you have traveled ...
(1/2 h)×(40 mi/h) = 20 mi
__
This is the same distance your friend has traveled in 2.5 hours at 8 mi/h.
Answer:
x² - 4
Step-by-step explanation:
Step 1: Write expression
(x + 2)(x - 2)
Step 2: FOIL
x² + 2x - 2x - 4
Step 3: Combine like terms
x² - 4
Answer:
1
Step-by-step explanation:
x is 1 and y is 1 and the total is three so 1
