Advertisements
Advertisements
प्रश्न
If |x| ≤ 4, then x ∈ [– 4, 4]
पर्याय
True
False
उत्तर
This statement is True.
Explanation:
If |x| ≤ 4, then – 4 ≤ x ≤ 4
⇒ x ∈ [– 4, 4]
APPEARS IN
संबंधित प्रश्न
Solve 24x < 100, when x is a natural number.
Solve –12x > 30, when x is a natural number.
Solve 3x + 8 > 2, when x is an integer.
Solve the given inequality for real x: 4x + 3 < 5x + 7.
Solve the given inequality for real x : `x/3 > x/2 + 1`
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:
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`
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.
2 ≤ 3x – 4 ≤ 5
Solve the inequality.
6 ≤ –3(2x – 4) < 12
Solve the inequality.
`-15 < (3(x - 2))/5 <= 0`
Solve the inequality.
`7 <= (3x + 11)/2 <= 11`
Represent to solution set of each of the following inequations graphically in two dimensional plane:
x + 2y − y ≤ 0
Represent to solution set of each of the following inequations graphically in two dimensional plane:
5. −3x + 2y ≤ 6
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 x > 5 and x > 2, then x ∈ (5, ∞)
State whether the following statement is True or False.
Graph of x > –2 is
State whether the following statement is True or False.
Solution set of x – y ≤ 0 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 ______.
Solution of a linear inequality in variable x is represented on number line given below ______.
If |x| > 5, then x ∈ (– `oo`, – 5) ∪ [5, `oo`)