Advertisements
Advertisements
Question
For the following inequation, represent the solution on a number line :
3(2x -1) ≥ 2(2x + 3), x ∈ Z
Solution
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
RELATED QUESTIONS
Solve and graph the solution set on a number line: 3x – 1 > 5 ; x ∈ W
Solve and graph the solution set on a number line: -3x + 12 < -15 ; x ∈ R.
Solve and graph the solution set on a number line: `"2x"/5 + 1 < -3; "x" ∈ "R"`
Fill in the blank, using the following number line:
An integer, on the given number line, is greater than every number to its_______
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 ascending order using a number line.
3, – 3, 4, – 7, 0, – 6, 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:
The opposite of zero is zero.
For the statement, given below, state whether it is true or false:
Every negative integar is smaller than 0.
In the following pair of number, 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.
9830415, 10023001
