Answer:
- x < 2.5
- x > 2.5
Step-by-step explanation:
One way to do this is to try a number for x and see if it makes the inequality true. A suitable number here is x=0. This value of x is less than 2.5.
<h3>1.</h3>
For x=0, you have ...
5 > -5 . . . . . true; the solution space is x < 2.5
__
<h3>2.</h3>
For x=0, you have ...
-25 > -5(2.5)
-25 > -12.5 . . . . . false; the solution space is x > 2.5
_____
<em>Alternate solution</em>
<h3>1.</h3>
Subtract 5:
-4x > -10
Divide by -4
x < 2.5
__
<h3>2.</h3>
Divide by -5:
5 < x +2.5
Subtract 2.5
2.5 < x
x > 2.5
Answer:
5 because you have to count the numbers in between.
Step-by-step explanation:
The function is :
y = √(x-12), x≥12
To find the inverse function, we interchange x and y, and then make y the subject again.
So interchanging x and y we have:
x = √(y-12)
Squaring both sides gives;
x² = y-12
Now making y the subject we have,
y = x² +12
x≥0.
Therefore the inverse function is;
y = x² +12, x≥0.
Hence the correct answer is C.
