Question

Solve the following inequalities and represent the solution graphically:-

-3x+8 > -10 when

x is a natural number

x is a whole number

x is an integer

x is a real number

4x/3-9/4<x+3/4,(7x-1)/3-(7x+2)/6>x(3 each)

-5≤(2-3x)/4<9.

(x+3)/(x-2)≤2,x≠2

|x+1/3|>8/3

(|x-2|-1)/(|x-2|-2)≤0

Write the even integral solutions of the inequation: (x-3)(x-10) ≤0

Solve the following inequalities and write their solution set:

1/x<2

1≤|x+1|≤2

|3/(x-1)|>1

(x+9)(x-3)≥0

Verify that the solution set of the following inequalities is empty:

x – 2y > 0, 2x – y < -2 , x ≥0, y ≥0.

Given the inequalities, exhibit the solution graphically:-

x+2y ≥2, 3x+y ≥3, 4x+3y≥6, x,y≥0

The water acidity in a pool is considered normal when the average pH reading of three daily measurements is between 7.2 and 7.8. If the first two pH readings are 7.48 and 7.85, find the range of pH value for third reading that will result in the acidity level being normal.

Palash wants to find out the range of various variables depending on following information. The height of a normal man can lie between 150 cm to 180 cm. The weight of a grown up man is considered normal from 65 kg to 80 kg. He wants to mathematically represent and solve the given information. If height is represented by H and weight is represented by W, Using above information help him in solving the following questions:-

What is the range of height of a normal man

(i)150<H<180 (ii) 150>H>180 (iii) 150≤H≤180 (iv) 50≥H≥180

What is the range of weight of a grown up man

65<W<80 (ii) 65>W>80 (iii) 65≤W≤80 (iv) 65≥W≥80

estimated body weight—eBW(kg) = (H − 1)100, where H is the height in metres. What will be the range of estimated body weight of males ranging from 160 -165 cm.

65<eBW<80 (ii) 60≤eBW≤80 (iii)60≤eBW≤65 (iv) 60≤eBW≤65

Graphically represent the range of H when eBW varies from 70 to 90 kg.





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Answer 1

Answer:

it is a long question

Step-by-step explanation: