-13<or equal 3x-8<or equal to -3
-13=3x-8
-5=3x
x=-5/3
I hope this is correct
x-5/3x<or equal x<or equal 5/3
1)
-13 < = 3x-8
-13 + 8 < = 3 x
- 5 < = 3 x Divide both sides with 3
- 5 / 3 < = x
x = > - 5 / 3
2)
3 x - 8 < = -3
3 x < = - 3 + 8
3 x < = 5 Divide both sides with 3
x < = 5 / 3
Since the "ends" do not contain variable terms, we can do this in one set of operations.
-13 ≤ 3x-8 ≤ -3
-12+8 ≤ 3x ≤ -3+8
-4 ≤ 3x ≤ 5
-4/3 ≤ x ≤ 5/3
Where did you get the -12?
To solve the inequality -13 ≤ 3x - 8 ≤ -3, you need to isolate the variable x.
First, let's solve for the upper bound:
3x - 8 ≤ -3
Add 8 to both sides:
3x ≤ 5
Divide both sides by 3 (since the coefficient of x is 3):
x ≤ 5/3
Now, let's solve for the lower bound:
-13 ≤ 3x - 8
Add 8 to both sides:
-5 ≤ 3x
Divide both sides by 3 (since the coefficient of x is 3):
-5/3 ≤ x
Therefore, the solution to the inequality is -5/3 ≤ x ≤ 5/3.