Class XI

Inequalities and interval notation

Interactive practice questions

Consider the pictured inequality.

A horizontal number line is shown, with integers labeled from $-3$ to $7$ . On this line, a close dot is located directly above the number $2$ , and an open dot is above the number $-1$ . A solid line connects the solid point above the number $2$ to the hollow point above the number $-1$ .

a

The endpoints of this interval, from left to right, are $\editable{}$ and $\editable{}$.

b

Which of the following is the correct notation for the pictured interval?

$[$[$-1$−1,$2$2$]$]

A

$($($-1$−1,$2$2$]$]

B

$[$[$-1$−1,$2$2$)$)

C

$($($-1$−1,$2$2$)$)

D

Easy

< 1min

Consider the pictured inequality.

Easy

1min

Consider the pictured inequality.

Easy

< 1min

Consider the pictured inequality.

Easy

< 1min

Outcomes

11.A.LE.1

Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Solution of system of linear inequalities in two variables – graphically.

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