Advertisements
Advertisements
प्रश्न
Solve and graph the solution set on a number line: `2/3"x" + 5 <= 1/2"x" + 6; "x" ∈ "W"`
Advertisements
उत्तर
`2/3"x" + 5 <= 1/2"x" + 6`
`=> 2/3"x" xx 6 + 5 xx 6 <= 1/2 "x" xx 6 + 6 xx 6` ....(Multiplying both sides by 6)
⇒ 4x + 30 ≤ 3x + 36
⇒ 4x - 3x + 30 ≤ 3x - 3x + 36 ...(Substracting 3x from both sides)
⇒ x + 30 ≤ 36
⇒ x + 30 - 30 ≤ 36 - 30 ...(Substracting 30 from both sides)
x ≤ 6
∴ The required graph is:
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: 8x – 8 ≤ – 24 ; x ∈ Z
For the following inequation, represent the solution on a number line :
`5/2 - "2x" >= 1/2, "x" ∈ "W"`
For the following inequation, represent the solution on a number line :
3(2x -1) ≥ 2(2x + 3), x ∈ Z
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.
– 8, 0, – 5, 5, 4, – 1
In the following case, arrange the given integers in descending order using a number line.
12, 23, -11, 0, 7, 6
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.
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
