Advertisements
Advertisements
प्रश्न
Solve and graph the solution set on a number line: 8x – 9 > 35 – 3x ; x ∈ N
Advertisements
उत्तर
8x – 9 ≥ 35 – 3x
⇒ 8x + 3x - 9 ≥ 35 - 3x + 3x ...(Adding 3x to both sides)
⇒ 11x - 9 ≥ 35
⇒ 11x - 9 + 9 ≥ 35 + 9 ..(Adding 9 to both sides)
⇒ 11x ≥ 44
⇒ `"11x"/11 ≥ 44/11` ...(Dividing both side by 11)
⇒ x ≥ 4
∴ The required graph is:

APPEARS IN
संबंधित प्रश्न
Solve and graph the solution set on a number line: `"2x"/5 + 1 < -3; "x" ∈ "R"`
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 :
`5/2 - "2x" >= 1/2, "x" ∈ "W"`
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 :
`(4 - "x")/2 < 3` , x ∈ R
Fill in the blank, using the following number line:

An integer, on the given number line, is ________ than every number on its left.
Fill in the blanks, using the following number line:

– 4 is _______ than -8 and 4 is _______ than 8.
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:
0 is greater than every positive integer.
For the statement, given below, state whether it is true or false:
Since zero is neither negative nor positive; it is not an integer.
