Advertisements
Advertisements
Question
Solve 24x < 100, when x is an integer.
Solution
24x < 100
Dividing both sides by 24
= `(24x)/24 < 100/24`
= x < `25/6`
Thus, when x is an integer, the solutions of the given inequality are … -4, -3, -2, -1, 0, 1, 2, 3, 4.
APPEARS IN
RELATED QUESTIONS
Solve 24x < 100, when x is a natural number.
Solve –12x > 30, when x is a natural number.
Solve 5x – 3 < 7, when x is an integer.
Solve the given inequality for real x: 4x + 3 < 5x + 7.
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: 37 – (3x + 5) ≥ 9x – 8(x – 3)
Solve the given inequality for real x: `((2x- 1))/3 >= ((3x - 2))/4 - ((2 - x))/5`
Solve the given inequality and show the graph of the solution on number line:
3x – 2 < 2x +1
Ravi obtained 70 and 75 marks in first two unit test. Find the minimum marks he should get in the third test to have an average of at least 60 marks.
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.
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.
2 ≤ 3x – 4 ≤ 5
Solve the inequality.
6 ≤ –3(2x – 4) < 12
Solve the inequality.
`-3 <= 4 - (7x)/2 <= 18`
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:
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:
5. −3x + 2y ≤ 6
Represent to solution set of each of the following inequations graphically in two dimensional plane:
3y ≥ 6 − 2x
Represent to solution set of each of the following inequations graphically in two dimensional plane:
3x − 2y ≤ x + y − 8
Solutions of the inequalities comprising a system in variable x are represented on number lines as given below, then ______.
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
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 > –2 and x < 9, then x ∈ (– 2, 9)
