These MCQs help students to learn about the concepts of Linear Inequalities and we will study linear inequalities in one and two variables. The study of inequalities is very useful in solving problems in the field of science, mathematics, statistics, optimization problems, economics, psychology, etc.
If – 3x + 17 < – 13, then
Given that x, y and b are real numbers and x < y, b < 0, then
If |x −1| > 5, then
If |x – 7|/(x – 7) ≥ 0, then
If | x − 1| > 5, then
The solution of |2/(x – 4)| > 1 where x ≠ 4 is
The solution of the inequality |x – 1| < 2 is
The graph of the inequalities x ≥ 0, y ≥ 0, 2x + y + 6 ≤ 0 is
Solve: 2x + 1 > 3
The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then
Breadth > 20 cm
Length < 20 cm
Breadth x ≥ 20 cm
Length ≤ 20 cm
If (|x| – 1)/(|x| – 2) ≥ 0, x ∈ R, x ± 2 then, the interval of x is
(-∞, -2) ∪ [-1, 1]
[-1, 1] ∪ (2, ∞)
(-∞, -2) ∪ (2, ∞)
(-∞, -2) ∪ [-1, 1] ∪ (2, ∞)
If x² < -4 then, the value of x is
(-2, 2)
(2, ∞)
(-2, ∞)
No solution
If -2 < 2x – 1 < 2 then, the value of x lies in the interval
(1/2, 3/2)
(-1/2, 3/2)
(3/2, 1/2)
(3/2, -1/2)
The graph of the inequations x ≤ 0 , y ≤ 0, and 2x + y + 6 ≥ 0 is
Exterior of a triangle
A triangular region in the 3rd quadrant
In the 1st quadrant
None of these
If |x| < -5 then, the value of x lies in the interval
(-∞, -5)
(∞, 5)
(-5, ∞)
No Solution