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:
36 cm^2.
Step-by-step explanation:
The area is half the product of the lengths of its diagonals.
(PA)(LY) = (12cm)(6cm)
= 72 cm
72cm ÷2= 36 cm^2
Therefore the area is 36 cm^2
Y=2.5r+50
Y is the total points
2.5 is the rate
r is the amount of questions he got right 50 is the score he already earned
Answer: C. x = 50
Step-by-step explanation: 2/5 x 50 = 100/5 = 20 and 20+10=30.
