Solve
-16<_3x-4<2
To solve the inequality:
-16 < 3x - 4 < 2
First, we will add 4 to all parts of the inequality:
-16 + 4 < 3x - 4 + 4 < 2 + 4
-12 < 3x < 6
Then, divide all parts of the inequality by 3 (since we want to isolate x):
-12/3 < 3x/3 < 6/3
-4 < x < 2
The solution to the inequality is -4 < x < 2.
Solve the compound inequality.
-16 <_ 3x - 4 < 2
Note: Use a comma for an 'or'
To solve the compound inequality:
-16 ≤ 3x - 4 < 2
First, we will add 4 to all parts of the inequality:
-16 + 4 ≤ 3x - 4 + 4 < 2 + 4
-12 ≤ 3x < 6
Then, divide all parts of the inequality by 3 (since we want to isolate x):
-12/3 ≤ 3x/3 < 6/3
-4 ≤ x < 2
The solution to the compound inequality is -4 ≤ x < 2.
To solve the inequality -16 < 3x - 4 < 2, we need to isolate the variable x.
First, let's solve the left inequality:
-16 < 3x - 4
Add 4 to both sides of the inequality:
-16 + 4 < 3x - 4 + 4
-12 < 3x
Divide both sides of the inequality by 3 (since we're trying to isolate x):
-12/3 < 3x/3
-4 < x
Now, let's solve the right inequality:
3x - 4 < 2
Add 4 to both sides of the inequality:
3x - 4 + 4 < 2 + 4
3x < 6
Divide both sides of the inequality by 3:
(3x)/3 < 6/3
x < 2
So, we have:
-4 < x < 2
The solution is all the values of x that lie between -4 and 2, excluding -4 and including 2.