Step-by-step explanation: To solve this absolute value inequality,
our goal is to get the absolute value by itself on one side of the inequality.
So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.
Now divide both sides by 3 and we have |x + 5| ≤ 3.
Now the the absolute value is isolated, we can split this up.
The first inequality will look exactly like the one
we have right now except for the absolute value.
For the second one, we flip the sign and change the 3 to a negative.
So we have x + 5 ≤ 3 or x + 5 ≥ -3.
Solving each inequality from here, we have x ≤ -2 or x ≥ -8.
Answer:
7
Step-by-step explanation:
absolute value of 7 is 7
Answer:
a=-36
Step-by-step explanation:
1/6(a+12)=-4
1) Distribute <u>1/6</u> to a and 12:
1/6a+2=-4
2) Subtract 2 from both sides:
1/6a=-6
3) Multiply both sides by the reciprocal of 1/6: (6/1)
a=-36
Let me know if you have any confusion on how I reached the solution :)
We can use proportion to get the result
10 ----------- 5%
x ------------- 100%
Crossmultiply proportion
5*x=10*100
5x=1000 /:5 divide both sides by 5
x=1000:5
x=200 - its the answer
Answer:
xtcygvubhjnlkm;lbu
Step-by-step explanation: