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Grade 12

Compound inequalities I

Interactive practice questions

Consider the statement $3<6x+7<9$3<6x+7<9:

a

Is $3<6x+7<9$3<6x+7<9 a compound inequality?

No

A

Yes

B
b

What are the two inequalities that make up $3<6x+7<9$3<6x+7<9?

$\editable{}<6x+7$<6x+7

$\editable{}<\editable{}$<

c

What word joins the two inequalities that were obtained from the compound inequality $3<6x+7<9$3<6x+7<9?

OR

A

AND

B
Easy
1min

The steps to solve $2<6x+8<10$2<6x+8<10

have been jumbled up below. Number the steps from 1 to 5.

Easy
1min

Consider the compound inequality:

$x-2<4$x2<4 and $4x>11$4x>11

Easy
1min

Which of the following values of $x$x are solutions to the compound inequality?

$3-x>-7$3x>7 and $3-x\le6$3x6

Easy
1min
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Outcomes

12F.C.4.2

Determine solutions to polynomial inequalities in one variable and to simple rational inequalities in one variable by graphing the corresponding functions, using graphing technology, and identifying intervals for which x satisfies the inequalities

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