Advertisements
Advertisements
Question
Solution of a linear inequality in variable x is represented on number line given below ______.
Options
x ∈ (–∞, 5)
x ∈ (–∞, 5]
x ∈ [5, ∞)
x ∈ (5, ∞)
Solution
Solution of a linear inequality in variable x is represented on number line x ∈ (5, ∞).
Explanation:
The gives graph represents all values of x greater than 5 including 5 on the real number line.
So, x ∈ (5, ∞).
APPEARS IN
RELATED QUESTIONS
Solve –12x > 30, when x is a natural number.
Solve –12x > 30, when x is an integer.
Solve 3x + 8 > 2, when x is an integer.
Solve the given inequality for real x: x + `x/2` + `x/3` < 11
Solve the given inequality for real x: `(3(x-2))/5 <= (5(2-x))/3`
Solve the given inequality for real x: `1/2 ((3x)/5 + 4) >= 1/3 (x -6)`
Solve the given inequality for real x: 2(2x + 3) – 10 < 6 (x – 2)
Solve the given inequality for real x: 37 – (3x + 5) ≥ 9x – 8(x – 3)
Solve the given inequality and show the graph of the solution on number line:
3x – 2 < 2x +1
To receive Grade ‘A’ in a course, one must obtain an average of 90 marks or more in five examinations (each of 100 marks). If Sunita’s marks in first four examinations are 87, 92, 94 and 95, find minimum marks that Sunita must obtain in fifth examination to get grade ‘A’ in the course.
Find all pairs of consecutive odd positive integers both of which are smaller than 10 such that their sum is more than 11.
Find all pairs of consecutive even positive integers, both of which are larger than 5 such that their sum is less than 23.
A man wants to cut three lengths from a single piece of board of length 91 cm. The second length is to be 3 cm longer than the shortest and the third length is to be twice as long as the shortest. What are the possible lengths of the shortest board if the third piece is to be at least 5 cm longer than the second?
[Hint: If x is the length of the shortest board, then x, (x + 3) and 2x are the lengths of the second and third piece, respectively. Thus, x = (x + 3) + 2x ≤ 91 and 2x ≥ (x + 3) + 5]
Solve the inequality.
`-15 < (3(x - 2))/5 <= 0`
Solve the inequality.
`-12 < 4 - (3x)/(-5) <= 2`
Solve the inequality.
`7 <= (3x + 11)/2 <= 11`
Represent to solution set of each of the following inequations graphically in two dimensional plane:
x + 2 ≥ 0
Represent to solution set of each of the following inequations graphically in two dimensional plane:
4. x − 2y < 0
Represent to solution set of each of the following inequations graphically in two dimensional plane:
6. x ≤ 8 − 4y
Represent to solution set of each of the following inequations graphically in two dimensional plane:
0 ≤ 2x − 5y + 10
Represent to solution set of each of the following inequations graphically in two dimensional plane:
3y ≥ 6 − 2x
State whether the following statement is True or False.
If x > y and b < 0, then bx < by
State whether the following statement is True or False.
Solution set of x – y ≤ 0 is
The inequality representing the following graph is ______.
Solution of a linear inequality in variable x is represented on number line given below ______.