Linear Inequalities Test -5

Question 1

1 / -0

The table shown here contains pricing information for the chopper (a kitchen tool) that is advertised on television The price depends on how soon a customer calls after the end of the advertisement Approximately, how much more would a customer who orders 3 choppers, 23 minutes after the end of the television advertisement pay than a customer who orders 2 chopper, 17 minutes after the advertisement ?

Minutes (m) after television advertisement ends	Price per chopper (In Rs.)
$$\displaystyle 0\leq m\leq10$$	34.95
$$\displaystyle 10< m\leq20$$	39.95
$$\displaystyle 20< m\leq30$$	44.95
$$\displaystyle 30< m\leq40$$	49.95
$$\displaystyle m> 40$$	59.95

Rs 15

Rs 35

Rs 40

Rs 55

Question 2
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The inequalities in which terms compared are never equal to each other is classified as

A
strict equality

B
strict inequality

C
strict quadres

D
differential quadrates

Question 3
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The point which does not belong to the feasible region of the LPP:
Minimize: $$Z=60x+10y$$
subject to $$3x+y \ge 18$$
$$2x+2y \ge 12$$
$$x+2y\ge 10$$
$$x,y \ge 0$$ is

A
$$(0,8)$$

B
$$(4,2)$$

C
$$(6,2)$$

D
$$(10,0)$$

Question 4
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Which of the following number line represents the solution of the inequality
$$-6x + 12 > -7x + 17$$ ?

A

B

C

D

Question 5
1 / -0

Sketch the solution to system of ineqalities
$$x\le -3$$
$$y < \frac{5}{3}x+2$$

A

B

C

D

Question 6
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A graph and the system of inequalities are shown above. Which region of the graph could represent the solution for the system of in equations?
$$y > x$$
$$3y≤-4x+6$$

A
$$A$$

B
$$B$$

C
$$C$$

D
$$D$$

Question 7
1 / -0

If the solution set for the system $$\begin{cases} y>x \\ y\le -\dfrac { 3 }{ 7 } x+5 \end{cases}$$ is given by the above figure, then which of the following is NOT a solution to the system?

A
$$(0,3)$$

B
$$(1,2)$$

C
$$(2,4)$$

D
$$(3,3)$$

Question 8
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Which equation has the solution shown on the number line?

A
$$-3 > x > -1$$

B
$$-5 < x < -2$$

C
$$-2 > x > 0$$

D
$$-1 > x > -6$$

Question 9
1 / -0

Which of the following is the correct graph for $$x\ge 3$$ or $$x\le -2$$?

A
Line A

B
Line B

C
Line C

D
Line D

E
Line E

Question 10
1 / -0

Directions For Questions

Solve the linear inequations graphically:
$$2x+3y > 2$$
$$x-y < 0$$
$$y \geq 0$$
$$x \leq 3$$

...view full instructions

Which quadrant does the solution lie in?

A
$$I$$

B
$$II$$

C
$$III$$

D
$$IV$$