Advertisements
Advertisements
प्रश्न
For the following inequation, represent the solution on a number line :
3(2x -1) ≥ 2(2x + 3), x ∈ Z
Advertisements
उत्तर
3(2x -1) ≥ 2(2x + 3), x ∈ Z
⇒ 6x - 3 ≥ 4x + 6, x ∈ Z
⇒ 6x - 4x ≥ 6 + 3
⇒ 2x ≥ 9
⇒ x ≥ `9/2`
⇒ x ≥ `4 1/2`
∴ x = {5, 6, 7, ....}

APPEARS IN
संबंधित प्रश्न
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 – 8 ≤ – 24 ; x ∈ Z
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}.
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}.
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 descending order using a number line.
-5, -3, 8, 15, 0, -2
For the statement, given below, state whether it is true or false:
The smallest integer is 0.
For the statement, given below, state whether it is true or false:
Since zero is neither negative nor positive; it is not an integer.
For the statement, given below, state whether it is true or false:
The opposite of -17 is 17.
In the following pairs of numbers, a state in which the whole number is on the left of the other number is on the number line. Also write it with the appropriate sign (>, <) between them.
370, 307
