Rational Inequalities Answers
The expression is equal to zero when x =3 and –39 and 94 and 2–4 and –2.
The expression is undefined when x = 3 and –39 and –94 and 2–4 and –2.
Use the critical points to determine the test regions. Which are possible test points?
The inequality [image 1] can be factored as: [image 2] Test points for the intervals are shown. Select the test points that make the inequality true.
Which inequality is the same as
Solve:
Solve the inequality and write the solution in interval notation:
Solve the inequality. Which intervals are included in the solution? Check all that apply.
Describe the steps you would use to solve the following inequality:
Subtract 2 from both sides and combine over a common denominator to obtain (7 − 3x)/(2x − 3) > 0. Identify the critical values x = 3/2 and x = 7/3, then test the intervals they create. The expression is positive on (3/2, 7/3), so the solution is (3/2, 7/3); exclude the endpoints because the inequality is strict and the denominator is zero at x = 3/2.
Identify the graph of the solution set of:
The solution to is:
Solve:
Solve the inequality and write the solution in interval notation:
Which interval(s) contains viable travel rates for the boat on the first leg of the trip?
Does your answer include the following?
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