Free Printable Solving inequalities in Q

1.

$a>\ b\ \ \ \ \ \ \ \ ,\ \ \ \ \ \ \ c<0$
then $a\ \times c\ \ .........\ \ \ \ \ b\ \ \times c$

a)

$>$

b)

$<$

c)

$=$

d)

$\ge$

2.

$a>\ b\ \ \ \ \ \ \ \ ,\ \ \ \ \ \ \ c<0$
then $\frac{a}{-2}\ .........\ \ \ \ \ \frac{b}{-2}$

a)

$>$

b)

$<$

c)

$=$

d)

$\ge$

3.

$\ Find\ the\ S.S\ \ OF\ \ :\ \ \ \ \ -2x\ \ge\ 1\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ in\ N$

a)

$\left\{\ 1\ ,\ 2\ \ ,\ \ \ 3\ ,\ \ 4\ \ ,\ \ \ ,\ \ .......\right\}$

b)

$\phi$

c)

$\left\{-\ 1\ ,\ -2\ \ ,\ \ \ -3\ ,-\ \ 4\ \ ,\ \ \ ,\ \ .......\right\}$

d)

$\left\{\ \frac{-1}{2}\right\}$

4.

$Find\ the\ S.S\ of\ \ \ :\ \ \ 2x+5>9\ \ \ \ \ \ \ \ in\ Q\$

a)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ X>\ \ 3\ \ \ x\ ∈\ ℚ\ \ \right\}\$

b)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ X\ \ \ge\ \ 2\ \ \ x\ ∈\ ℚ\ \ \right\}$

c)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ X\ \ <\ \ 2\ \ \ x\ ∈\ ℚ\ \ \right\}$

d)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ X>\ \ 2\ \ \ x\ ∈\ ℚ\ \ \right\}$

5.

$Find\ the\ S.S\ of\ \ \ :\ \ \ \ \ 2\ \ –\ \ 3x\ <\ 8\ \ \ \ \ \ \ \ in\ Q\$

a)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ X>\ \ 2\ \ \ x\ ∈\ ℚ\ \ \right\}\$

b)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ X\ \ \ge\ \ 2\ \ \ x\ ∈\ ℚ\ \ \right\}$

c)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ X\ \ >\ \ -2\ \ \ x\ ∈\ ℚ\ \ \right\}$

d)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ X\ \ge\ \ 2\ \ \ x\ ∈\ ℚ\ \ \right\}$

6.

$Find\ the\ S.S\ of\ \ \ :\ \ \ \ \ 2x-3\ \ ≤\ \ 7\ \ \ \ \ \ \ in\ Q\$

a)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ X>\ \ 2\ \ \ \ \ ,\ \ x\ ∈\ ℚ\ \ \right\}\$

b)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ X\ \ \ge\ \ 2\ \ \ ,\ \ x\ ∈\ ℚ\ \ \right\}$

c)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ X\ \ <\ \ -2\ \ ,\ \ x\ ∈\ ℚ\ \ \right\}$

d)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ x\ \ \le\ \ 5\ \ \ ,\ \ \ \ \ x\ ∈\ ℚ\ \ \right\}$

7.

$Find\ the\ S.S\ of\ \ \ :\ \ X+4>2\ \ \ \ \ ,\ \ \ in\ \ \ \ ℤ$

a)

$S.S=\left\{\ -1\ ,\ 0\ ,\ 1\ ,\ 2\ ,……\ \right\}\$

b)

$S.S=\left\{\ \ \ ,\ 1\ ,\ 2\ ,……\ \right\}\$

c)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ X\ \ <\ \ -2\ \ \ \right\}$

d)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ x\ \ \le\ \ 5\ \ \ \ \ \right\}$

8.

$-a>-b\ \ \ \ \ \ \ \ ,\ \ \ \ \ \ \ c<0$
then $-a\ \ \times\ c\ \ \ .........\ \ \ \ \ -b\ \ \times\ c$

a)

$>$

b)

$<$

c)

$=$

d)

$\ge$

9.

$Find\ the\ S.S\ of\ \ \ :\ \ \ -7x\ \ \le\ \ 14\ \ \ \ \ \ in\ Q\$

a)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ X>\ \ 2\ \ \ \ \ ,\ \ x\ ∈\ ℚ\ \ \right\}\$

b)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ X\ \ \ge\ -\ 2\ \ \ ,\ \ x\ ∈\ ℚ\ \ \right\}$

c)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ X\ \ <\ \ -2\ \ ,\ \ x\ ∈\ ℚ\ \ \right\}$

d)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ x\ \ \le\ \ 5\ \ \ ,\ \ \ \ \ x\ ∈\ ℚ\ \ \right\}$

10.

$Find\ the\ S.S\ of\ \ \ :\ \ \ 7x\ \ +2\ \le\ \ 5x\ -10\ \ \ \ \ \ in\ Q\$

a)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ X>\ \ 2\ \ \ \ \ ,\ \ x\ ∈\ ℚ\ \ \right\}\$

b)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ X\ \ \ge\ -\ 2\ \ \ ,\ \ x\ ∈\ ℚ\ \ \right\}$

c)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ X\ \ <\ \ -2\ \ ,\ \ x\ ∈\ ℚ\ \ \right\}$

d)

$S.S=\left\{\ \ x\ :\ x\ ∈\ ℚ\ \ \ x\ \ \le\ \ -6\ \ \ ,\ \ \ \ \ x\ ∈\ ℚ\ \ \right\}$

Solving inequalities in Q

Total questions: 10

Worksheet time: 5mins

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