UK Secondary (7-11)
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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

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

OR

A

AND

B
Easy
Approx a minute
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The steps to solve $2<6x+8<10$2<6x+8<10

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

Consider the compound inequality:

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

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

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

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