Advertisements
Advertisements
प्रश्न
Solve and graph the solution set on a number line: `"x"/2 > -1 + "3x"/4; "x" ∈ "N"`
उत्तर
`"x"/2 > -1 + "3x"/4`
`=> "x"/2 xx 4 > -1 xx 4 + "3x"/4 xx 4` ..(Multiplying both sides by 4)
⇒ 2x > -4 + 3x
⇒ 2x - 2x > - 4 + 3x - 2x ...(Subtracting 2x from both sides)
⇒ 0 > - 4 + x
⇒ 0 + 4 > - 4 + 4 + x ...(Adding 4 to both sides)
⇒ 4 > x
∴ The required graph is:
APPEARS IN
संबंधित प्रश्न
Solve and graph the solution set on a number line: 8x – 8 ≤ – 24 ; x ∈ Z
Solve and graph the solution set on a number line: `2/3"x" + 5 <= 1/2"x" + 6; "x" ∈ "W"`
For the following inequation, represent the solution on a number line :
3(2x -1) ≥ 2(2x + 3), x ∈ Z
For the following inequation, represent the solution on a number line :
4(3x + 1) > 2(4x - 1), x is a negative integer
For the following inequation, represent the solution on a number line :
-2(x + 8) ≤ 8, x ∈ R
Fill in the blanks, using the following number line:
– 4 is _______ than -8 and 4 is _______ than 8.
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.
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
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
