Answer:
x < -5 or x = 1 or 2 < x < 3 or x > 3
Step-by-step explanation:
Given <u>rational inequality</u>:





Therefore:

Find the roots by solving f(x) = 0 (set the numerator to zero):



Find the restrictions by solving f(x) = <em>undefined </em>(set the denominator to zero):




Create a sign chart, using closed dots for the <u>roots</u> and open dots for the <u>restrictions</u> (see attached).
Choose a test value for each region, including one to the left of all the critical values and one to the right of all the critical values.
Test values: -6, 0, 1.5, 2.5, 4
For each test value, determine if the function is positive or negative:





Record the results on the sign chart for each region (see attached).
As we need to find the values for which f(x) ≥ 0, shade the appropriate regions (zero or positive) on the sign chart (see attached).
Therefore, the solution set is:
x < -5 or x = 1 or 2 < x < 3 or x > 3
As interval notation:

This would look like 6x/11. Since the problem doesn’t state the answer then you would simply write the expression.
Answer:
76.505
Step-by-step explanation:
price after the discount
110 × (35/100) = 38.5
110 - 38.5 = 61.5
price after tax
61.5 × 1.07 = 76.505
24 sq.ft. Is the answer if not then I’m sorry
Answer:
AB = 32 ft
Step-by-step explanation:
If you rotate Triangle ECD 180 degrees clockwise, you will see that the sides line up perfectly with Triangle BCA, meaning that ED = AB and ED = 32 (transitive property of equality) so AB must also equal 32.