On solving the inequalities 6x + y >18, x+4y>12, 2x+y<10  we get the following situation:

Solve x +2 < 4

Solve the inequality 3 – 2x≥15

Solve 𝒙 ÷ 𝟐 >8 

On the average, experienced person does 5 units of work while fresh one 3 units work daily but the employer have to maintain the output to at least 30 units work per day. The situation can be expressed as

A company produces two products A and B, each of which requires processing in two machines. The first machine can be used at most for 60 hours, the second machine can be used at most for 40 hours. The product A requires 2 hours on machine one and one hour on machine one and two hours on machine two. Above situation is using linear inequalities?

The inequalities 5x1 + 4x2≥9, x1+x2≥ 3, x1≥ 0 and x2 ≥ 0 is correct?

Solve the absolute value inequality 2|𝟑𝒙 + 𝟗|<36

Solve x + 2 < 4

Solve 𝒙 ÷ 𝟐 >4

The solution of the inequality 8x + 6 < 12x + 14 is:

Solve x-1 < 2x + 2 < 3x + 1

Solve -2(x+4)>1 – 5x

Solve the inequality |𝟐𝒙 − 𝟏|> 5

Find all pair if consecutive even positive integers, both of the which are larger than 5 such that their sum is less than 23.

The longest side of a triangle is three times the shortest side and third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61cm. find the minimum length of the shortest side.

Solve the inequality: 2≤ 𝟑𝒙 − 𝟒 ≤ 5 

Graphs of in equations are drawn below:

L1: 5x+3y=30                  L2: x+ y = 9

L3: Y=X/3                        L4: y=x/2

The common region (Shaded part) shown in the diagram refers to the inequalities 

On solving the inequalities 5x+y≤100, x+y≤60, x≥0, y≥, we get the following solutions:

The solution set of the in equation x + 2 > 0 and 2x – 6 > 0 is

The common region represented by the following in equalities

L1 = X1 + X2≤ 4; L2 = 2X1 + X2≥ 6 

The average cost function of a good is 2Q+6+ Q/13 where Q is the quantity produced. The approx. cost at Q = 15 is___ 

The common region in the graph of the inequalities x + y ≤ 𝟒, x – y ≤ 𝟒, x ≥ 𝟐,𝒊𝒔.

If A + B = [ 𝟏 𝟎 𝟏 𝟏 ] and A – 2B =[ −𝟏 𝟏 𝟎 −𝟏 ], then A = 

The matrix A = [ 𝟏 −𝟐 𝟑 𝟏 −𝟑 𝟒 −𝟏 𝟏 −𝟐 ] is 

The cost function of production is given by C(x) = 𝒙 𝟑÷ 𝟐 - 15x2 + 36x where x denotes thee number of items produced. The level of output for which marginal cost is minimum and the level of output for which the average cost is minimum are given by, respectively

∫01 𝑒 𝑥 ( 1 ÷ 𝑥 − 1 ÷ 𝑥 2 )dx =

If y = 4+9 sin 5x then which holds good?

Xyz Company has a policy for its recruitment as: it should not recruit more than eight men (x) to three women(y). How can this fact to be express in inequality? 

The solution of the following system of linear equations 2x-5y+4=0 and 2x+y-8 = 0 will be