Answer:
solutions to the absolute value inequality is [tex]67\leq x\leq 73[/tex]
Step-by-step explanation:
To find the solution of x absolute value of |x − 70| ≤ 3 will be written in the form of interval because the given fraction (x-70) is less than and equal to 3.
[tex]-3\leq(x-70)\leq 3[/tex]
Now we add 70 on every part of the inequality.
[tex]-3+70\leq (x-70)+70\leq 3+70[/tex]
[tex]67\leq x\leq 73[/tex]
So the solution to the absolute value inequality is [tex]67\leq x\leq 73[/tex].
Answer:
67 ≤ x ≤ 73
Step-by-step explanation:
Given inequality is: |x − 70| ≤ 3
We have to find the value of x.
If |x| ≤ a then x ≤ a and x ≥ -a .
Applying this rule to given inequality,we get x - 70 ≤ 3 and x - 70 ≥ -3
Adding 70 to both sides of above both inequality,we get
x-70+70 ≤ 3+70 and x-70+70 ≥ -3+70
Adding like terms,we get
x ≤ 73 and x ≥ 67
Combining above two inequalities ,we get
67 ≤ x ≤ 73 which is the answer.
