Graph real numbers on a number line Quiz 1

Question 1

Solve $$2 < 3\left( x+5 \right)\le 4$$ and represent on the number line.

Accepted Answer

Answer

Answer

Answer

Question 2

What can be inferred from the number line plotted below?<img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/420262f5-8205-448d-99a2-9fb5079ba23e8568878688682195560.png"/>

Accepted Answer

Represents an open ray

Answer

Represents a ray

Answer

Represents the plot of $$x\le -2$$

Answer

Interval notation is $$\left[ -2,\infty  \right]$$

Question 3

Which of the below sets is represented by the number line shown below,<img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/e8502ec4-c633-4b50-bdd8-56049a7831555748415472568744275.png"/>

Accepted Answer

$$\left( \infty ,-2 \right]\cup \left[ 0,6 \right)$$

Answer

$$\left( \infty ,-2 \right]\cap \left[ 0,6 \right)$$

Answer

$$\left[ \infty ,-2 \right]\cup \left[ 0,6 \right)$$

Answer

$$\left( \infty ,-2 \right)\cup \left[ 0,6 \right)$$

Question 4

Solve for $$t:0.21\left( t+1 \right) < 2t+\dfrac{1}{2}$$ and plot it on the number line.

Accepted Answer

Answer

Answer

Answer

Question 5

Consider the plot given below and choose the option that correctly represents the same.<img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/191ca8c4-d986-4dde-87e3-c8c00b074f048128612128822658486.png"/>

Accepted Answer

$$\dfrac{5}{2}\left( y-\dfrac{6}{2} \right) < \left( \dfrac{7}{2}+2y \right)\le \dfrac{8}{2}$$

Answer

$$\dfrac{5}{2}\left( y-\dfrac{7}{2} \right) < \left( \dfrac{6}{2}+y \right)\le \dfrac{10}{2}$$

Answer

$$\left( 2y+\dfrac{5}{2} \right) < \left( \dfrac{3}{2}-y \right) < 6$$

Answer

$$\left( y-\dfrac{7}{2} \right) < \left( \dfrac{5}{2}+3y \right)\le 8$$