Advertisements
Advertisements
प्रश्न
Solve the inequation 5(x – 2) > 4 (x + 3) – 24 and represent its solution on a number line.
Given the replacement set is {-4, -3, -2, -1, 0, 1, 2, 3, 4}.
उत्तर
5(x – 2) > 4 (x + 3) – 24
⇒ 5x - 10 > 4x + 12 - 24
⇒ 5x - 4x > 10 - 12
⇒ x > -2
Since replacement set ={-4, -3, -2, -1, 0, 1, 2, 3, 4}
∴ Solution set = {-1, 0, 1, 2, 3, 4}
∴ Solution set on a number line is shown below.
APPEARS IN
संबंधित प्रश्न
Solve and graph the solution set on a number line: 8x – 9 > 35 – 3x ; x ∈ N
Solve and graph the solution set on a number line: `2/3"x" + 5 <= 1/2"x" + 6; "x" ∈ "W"`
Solve `2/3` (x + 1) + 4 < 10 and represent its solution on a number line.
Given replacement set is {-8, -6, -4, 3, 6, 8, 12}.
For the following inequation, represent the solution on a number line :
2(4 - 3x) ≤ 4(x - 5), x ∈ W
For the following inequation, represent the solution on a number line :
4(3x + 1) > 2(4x - 1), x is a negative integer
Fill in the blanks, using the following number line:
2 is _______ than – 4 implies 2 is to the ________ of – 4.
Fill in the blanks, using the following number line:
-3 is _________ than 2 and 3 is _______ than – 2.
Fill in the blanks, using the following number line:
8 is _______ than -5 and -8 is ______than -5.
In the following case, arrange the given integers in ascending order using a number line.
– 8, 0, – 5, 5, 4, – 1
In the following case, arrange the given integers in descending order using a number line.
-5, -3, 8, 15, 0, -2
