Advertisements
Advertisements
प्रश्न
Solution of a linear inequality in variable x is represented on number line given below ______.
विकल्प
x ∈ `(- oo, 7/2)`
x ∈ `(-oo, 7/2]`
x ∈ `[7/2, -oo)`
x ∈ `(7/2, oo)`
उत्तर
Solution of a linear inequality in variable x is represented on number line `bbunderline(x ∈ (- oo, 7/2))`.
Explanation:
The given graph represents all the values of x less than `7/2` on real number line.
So, x ∈ `(- oo, 7/2)`.
APPEARS IN
संबंधित प्रश्न
Solve –12x > 30, when x is a natural number.
Solve 5x – 3 < 7, when x is an integer.
Solve 5x – 3 < 7, when x is a real number.
Solve 3x + 8 > 2, when x is an integer.
Solve the given inequality for real x: 3(x – 1) ≤ 2 (x – 3)
Solve the given inequality for real x: 3(2 – x) ≥ 2(1 – x)
Solve the given inequality for real x : `x/3 > x/2 + 1`
Solve the given inequality for real x: `(3(x-2))/5 <= (5(2-x))/3`
Solve the given inequality and show the graph of the solution on number line:
3x – 2 < 2x +1
Solve the given inequality and show the graph of the solution on number line:
3(1 – x) < 2 (x + 4)
Solve the given inequality and show the graph of the solution on number line:
`x/2 >= ((5x -2))/3 - ((7x - 3))/5`
The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.
Solve the inequality.
`-3 <= 4 - (7x)/2 <= 18`
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:
5. −3x + 2y ≤ 6
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:
y ≥ 2x − 8
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.
If xy > 0, then x > 0, and y < 0
State whether the following statement is True or False.
If xy < 0, then x > 0, and y > 0
State whether the following statement is True or False.
If x > 5 and x > 2, then x ∈ (5, ∞)
State whether the following statement is True or False.
If |x| < 5, then x ∈ (–5, 5)
State whether the following statement is True or False.
Graph of x > –2 is
The inequality representing the following graph is ______.
Solution of a linear inequality in variable x is represented on number line given below ______.
Solution of a linear inequality in variable x is represented on number line given below ______.
If x > –2 and x < 9, then x ∈ (– 2, 9)