Inequalities

Hong Kong

Stage 4 - Stage 5

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

a

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

No

A

Yes

B

b

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

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

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

c

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

OR

A

AND

B

Easy

Approx a minute

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

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

Consider the compound inequality:

$x-2<4$`x`−2<4 and $4x>11$4`x`>11

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

$3-x>-7$3−`x`>−7 and $3-x\le6$3−`x`≤6

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