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India
Class XI

Identify solutions to linear inequalities

Interactive practice questions

We want to determine if $a=4$a=4 is a solution of $a+7$a+7$\le$$11$11.

a

Find the value of the left-hand side of the inequality when $a=4$a=4.

b

Is $a=4$a=4 a solution of $a+7$a+7$\le$$11$11?

Yes

A

No

B
Easy
< 1min

We want to determine if $y=7$y=7 is a solution of $7-y$7y$\le$$2$2.

Easy
< 1min

We want to determine if $u=4$u=4 is a solution of $6u$6u$>$>$18$18.

Easy
< 1min

The table shows the times of six swimmers in a $1500$1500 metre race. Only those who achieve a time of $22$22 minutes or below qualify for the final.

Use the inequality $t$t$\le$$22$22, where $t$t is the time of each swimmer, to find all of the swimmers who qualify for the final.

Medium
< 1min
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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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