When solving an equation with an absolute value term, you make two separate equations ans solve for x:
Equation 1: |4x-3|-5 = 4
1st add 5 to both sides:
|4x-3| = 9
Remove the absolute value term and make two equations:
4x-3 = 9 and 4x - 3 = -9
Solving for x you get X = 3 and x = -1.5
When you replace x with those values in the original equation the statement is true so those are two solutions.
Do the same thing for equation 2:
|2x+3| +8 = 3
Subtract 8 from both sides:
|2x+3| = -5
Remove the absolute value term and make two equations:
2x +3 = -5
2x+3 = 5
Solving for x you get -1 and 4, but when you replace x in the original equation with those values, the statement is false, so there are no solutions.
The answer is:
C. The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution.
In order to solve this exercise you need to remember the following symbols in Inequalities:
1. The meaning of this symbol is "Greater than":
2. The meaning of this one is "Less than":
3. The following symbol means "Less than or equal to":
4. And this one means "Greater than or equal to":
Knowing the above, you can determine that the statement "c is less than 6", can be written as the following inequality:
The answer is:
Answer:
you can't tell
Step-by-step explanation:
we don't know what x is equal to because there is no equivalent. x here can equal anything.
1 lemon costs 20p and 1 orange costs 45p so an orange costs 25p more
Answer:
p = -2
Step-by-step explanation:
O we have to solve this equation:
24p + 12 - 18p = 10 + 2p - 6
First, we will operate what we have in both sides:
24p - 18p + 12 = 10 - 6 + 2p
6p + 12 = 4 + 2p
We substract 2p in both sides and 12 too.
6p + 12 - 2p - 12 = 4 + 2p - 2p - 12
4p = -8
Now, we divide both sides by 4
4p/4 = -8/4
