Quiz about Solving Inequalities + Interval Notation

Question 1

Graph the inequality on the number line.

$$x<7$$

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 2

Graph the inequality on the number line.

$$x\ge7$$

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 3

What inequality is represented on the number line?

Accepted Answer

$$x>7$$

Answer

$$x<7$$

Answer

$$x\le7$$

Answer

$$x\ge7$$

Question 4

What inequality is represented on the number line?

Accepted Answer

$$x\le7$$

Answer

$$x<7$$

Answer

$$x>7$$

Answer

$$x\ge7$$

Question 5

Write the interval notation that represents the solution.

$$x>7$$

Accepted Answer

$$\left(7,\ \infty\right)$$

Answer

$$\left[7,\ \infty\right)$$

Answer

$$\left(-\infty,\ 7\right)$$

Answer

$$\left(-\infty,\ 7\right]$$

Question 6

Write the interval notation that represents the solution.

$$x\le7$$

Accepted Answer

$$\left(-\infty,\ 7\right]$$

Answer

$$\left(7,\ \infty\right)$$

Answer

$$\left[7,\ \infty\right)$$

Answer

$$\left(-\infty,\ 7\right)$$

Question 7

Which number line represents the given interval notation?

$$\left(-\infty,\ 7\right)$$

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 8

Which number line represents the given interval notation?

$$\left[7,\ \infty\right)$$

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 9

Solve the inequality.

$$5-2\left(x+7\right)<-23$$

Accepted Answer

$$x>7$$

Answer

$$x<7$$

Answer

$$x<-21$$

Answer

$$x>21$$

Answer

$$x<-7$$

Question 10

Solve the inequality.

$$\frac{x}{7}+5>8$$

Accepted Answer

$$x>21$$

Answer

$$x>51$$

Answer

$$x>91$$

Answer

$$x>61$$

Answer

$$x>3$$

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