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}.
Advertisements
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: x - 5 < -2; x ∈ N.
Solve and graph the solution set on a number line: 7 > 3x – 8 ; x ∈ W
Solve and graph the solution set on a number line: 8x – 9 > 35 – 3x ; x ∈ N
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 :
3(2x -1) ≥ 2(2x + 3), x ∈ Z
Fill in the blank, using the following number line:
An integer, on the given number line, is ________ than every number on its left.
Fill in the blanks, using the following number line:
– 4 is _______ than -8 and 4 is _______ than 8.
Fill in the blanks, using the following number line:
5 is _______ than 2 and -5 is ______ than – 2.
In the following case, arrange the given integers in ascending order using a number line.
3, – 3, 4, – 7, 0, – 6, 2
In the following case, arrange the given integers in descending order using a number line.
-5, -3, 8, 15, 0, -2
