Linear Inequalities — practice questions
39 curated practice questions from Linear Inequalities (Mathematics Class 11, CBSE) — 28 easy, 11 medium. Every question includes the final answer free; step-by-step worked solutions with a free account.
- The cost and revenue functions of a product are given by C ( x ) = 20 x + 4000 and R ( x ) = 60 x + 2000, respectively…
- The inequality x belongs to
- If 7 x + 3 x + 9 then x ∈
- Solution of | x 2 – 10| ≤ 6 is
- If 5-2 x 3 x 6 -5 , then x ∈
- If ( x – 1)( x 2 – 5 x + 7) x – 1), then x belongs to
- The inequality representing the following graph is:
- The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then
- The marks obtained by a student of Class XI in first and second terminal examination are 62 and 48, respectively. Find…
- Solution of ( x – 1) 2 ( x + 4) < 0 is
- Directions : Which of the following inequalities satisfy the given figure? (i) x + y ≥ 5 (ii) x – y ≥ 5 (iii) x – y ≤ 3…
- Directions : Which of the following inequalities satisfy the given figure? (i) x ≥ 2 (ii) y ≥ 3 (iii) 5 x + 4 y ≤ 40…
- Statement-I : If a b , c Statement-II : If both sides are divided by the same negative quantity, then the inequality is…
- If 3 x-4 2 x+1 4 -1 , then x ∈
- Statement-I : If –5 ≤ 2 x + 9 ≤ 2, then x ∈ [–7, –3.5] Statement-II : The graphical representation of –5 ≤ 2 x + 9 ≤ 2…
- A manufacturer has 600 litres of a 12% solution of acid. How many litres of a 30% acid solution must be added to it so…
- Solution of 0 x + 1| is
- If |2 x – 3| x + 5|, then x belongs to
- Solution of (2 x + 1)( x – 3) ( x + 7) < 0 is
- The following system of inequalities x 2 x+1 1 4 , 6 x 4 x-1 < 1 2 have
- Directions : Which of the following inequalities satisfy the given figure? (i) x + 2 y ≤ 8 (ii) x ≥ 0, y ≥ 0 (iii) x ≤…
- The set of values of x which satisfy the inequations 5 x + 2 x + 8 and < 4 is
- In an experiment, a solution of hydrochloric acid is to be kept between 30° and 35° celsius. What is the range of…
- Directions : Solution of a linear inequality in variable x is represented on number line. Choose the correct answer…
- If | x + 2| ≤ 9, then
- If x is a real number and | x | < 3, then
- Statement-I : |3 x – 5| > 9 ⇒ x (- , -4 3 ) ( 14 3 , ) . Statement-II : The region containing all the solutions of an…
- x and b are real numbers. If b > 0 and | x | > b , then
- Solution of | x – 1| ≥ | x – 3| is
- Solve the system of inequalities: 3 x – 7 x 11 – 5 x ≤ 1
- Find all pairs of consecutive odd natural numbers, both of which are larger than 10, such that their sum is less than…
- If 4 x + 3 x +7, then x ∈
- Solutions of the inequalities comprising a system in variable x are represented on number lines as given below, then 33…
- Statement-I : If x ≥ – 3, then x + 5 ≥ 2 Statement-II : Same number can be added to both sides of the inequality…
- The feasible region for the following constraints L 1 ≤ 0, L 2 ≥ 0, L 3 = 0, x ≥ 0, y ≥ 0 in the diagram shown is
- If -5 5-3 x 2 8 , then x ∈
- Which of the following linear inequalities satisfy the shaded region of the given figure?
- Given that x , y and b are real numbers and x y , b < 0, then
- Statement-I : If 11 x – 9 ≤ 68, then x ∈ (–∞, 7). Statement-II : If an inequality consist of signs ≤ or ≥, then the…