Answer:
x = 18
Step-by-step explanation:
Given:
Finding x for which 3b = 5a:
- 3(4x - 7) = 5(2x + 3)
- 12x - 21 = 10x + 15
- 12x - 10x = 15 + 21
- 2x = 36
- x = 36/2
- x = 18
Step-by-step explanation:
False
Answer:
It would've been more difficult to solve and doing it as shown in EX:2 it's a way easier method to use and remember.
Answer:
The solution to the inequality |x-2|>10 in interval notation is given by -8<x<12
Step-by-step explanation:
An absolute value inequality |x-2|>10 is given.
It is required to solve the inequality and write the solution in interval form.
To write the solution, first solve the given absolute value inequality algebraically and then write it in interval notation.
Step 1 of 2
The given absolute value inequality is $|x-2|>10$.
The inequality can be written as
x-2<10 and x-2>-10
First solve the inequality, x-2<10.
Add 2 on both sides,
x-2<10
x-2+2<10+2
x<12
Step 2 of 2
Solve the inequality x-2>-10.
Add 2 on both sides,
x-2>-10
x-2+2>-10+2
x>-8
The solution of the inequality in interval notation is given by -8<x<12.
Answer:
(-10,-40)
Step-by-step explanation:
Here is a picture of the way I did it.