We are given the following inequality:

If we replace b = 2, we get:

Now we solve for "a" first by subtracting 8 on both sides:

Now we divide both sides by 6

Simplifying:

Therefore, for b = 2, the possible values of "a" are those that are greater than 1/3
Answer:
y = 3/2x + 15
Step-by-step explanation:
change f(x) to 'y='
interchange 'x' and 'y' then solve for 'y':
y = 2/3x - 10
x = 2/3y - 10
x+10 = 2/3y
multiply each side by 3/2 to get:
y = 3/2x + 15
The result is 1/3.
_____
The first attempt in the attached picture has parentheses in the wrong place for the second term. This simplifies to
.. (-5/-3)*(-4) +(10 -3)
.. = -20/3 +7
.. = -(6 2/3) +7
.. = 1/3
-8x+2=-7x+10
-x+2=10
-x=8
x=-8
Answer:
No solution.
Step-by-step explanation:
Step 1: Write inequality
3(x - 2) + 1 ≥ x + 2(x + 2)
Step 2: Solve for <em>x</em>
- Distribute: 3x - 6 + 1 ≥ x + 2x + 4
- Combine like terms: 3x - 5 ≥ 3x + 4
- Add 5 to both sides: 3x ≥ 3x + 9
- Subtract 3x on both sides: 0 ≥ 9
Here we see that the statement is false. Therefore, you cannot solve for the inequality.