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: 8x – 8 ≤ – 24 ; x ∈ Z
Solve and graph the solution set on a number line: `"x"/2 > -1 + "3x"/4; "x" ∈ "N"`
For the following inequation, represent the solution on a number line :
4(3x + 1) > 2(4x - 1), x is a negative integer
Fill in the blanks, using the following number line:
2 is _______ than – 4 implies 2 is to the ________ of – 4.
Fill in the blanks, using the following number line:
-3 is _________ than 2 and 3 is _______ than – 2.
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:
0 is greater than every positive integer.
For the statement, given below, state whether it is true or false:
The opposite of -17 is 17.
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
