Answer:
Step-by-step explanation:
|2x-3|≤9
so -9≤2x-3≤9
add 3 to each inequality
-6≤2x≤12
divide by 2
-3≤x≤6
Answer:
D. 
Step-by-step explanation:

Since we are multiplying an exponential number to a fraction the answer is going to be

Hope this helps ❤❤❤ ;)
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.