ANSWER
m < -2
EXPLANATION
We want to find the solution set for m in:
First, collect like terms:
Now, divide both sides by -3. When you divide an inequality by a negative number, <em>the sign changes direction</em>:
This means that all values of m must be less than -2.
<em>None of the options contains the correct solution set.</em>
Answer:
Bed A --- Third Option
Bed B --- Fifth Option
Step-by-step explanation:
Flower Bed A)
The formula for circumference is:
The diameter of A is 10 feet. So, its radius is 5 feet.
Substitute 5 for r. So, the circumference of Bed A is:
The formula for the area of a circle is:
Substitute 5 for r:
Square and simplify:
So, the circumference of Bed A is 10π feet and its area is 25π square feet.
Therefore, match Bed A to the third option.
Flower Bed B)
The radius of Bed B is 6 feet. Again, we can use the circumference and area formulas. Substitute 6 for r for circumference:
Multiply:
Substitute 6 for r for the area formula:
Square and simplify:
So, Bed B has a 12π feet circumference and a 36π square feet area.
Therefore, match Bed B to the fifth option.
And we're done!