Rational Inequality Wrap Up

Rational Inequality Wrap Up

Solving Rational Inequality

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Multiple Choice

 $What\ are\ the\ critical\ numbers\ of\ the\ inequality\ \frac{x-3}{x+5}\ge0?$  

• 5 and -3

• 0,3 and 5

• 3 and -5

• 2, 1

Multiple Choice

These numbers are the zeros of the numerator and denominator of a rational inequality.

• zeros

• undefined

• critical numbers

• solution set

Multiple Choice

Find the values of x that will satisfy

 $\frac{(𝑥+1)}{(𝑥−4)}≥0$  

•  $\left(-\infty,-4\right)U\ \left[1,+\infty\right)$  

•  $\left(-\infty,-4\right]U\ \left[1,+\infty\right)$  

•  $\left(-1,-4\right)U\ \left[1,4\right]$  

• set of real number

Fill in the Blank

TRUE OR FALSE:

When solving rational inequality, we are solving for a x value that will make the original inequality true.

Multiple Choice

TRUE OR FALSE:

When solving rational inequality, we need to move all the terms in one side, combine like terms and write as a single fraction

• TRUE

• FALSE

Multiple Choice

What is the solution set of the given inequality?

• $\left(1,2\right)U\left(3,\frac{7}{2}\right)$

• $\left[1,2\right]U\left(4,3\right)$

• set of real number

• $\left(1,2\right]\ U\ \left[3,\ -3.5\right]$