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 the inequation 5(x – 2) > 4 (x + 3) – 24 and represent its solution on a number line.
Given the replacement set is {-4, -3, -2, -1, 0, 1, 2, 3, 4}.
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
For the following inequation, represent the solution on a number line :
2(4 - 3x) ≤ 4(x - 5), x ∈ W
For the following inequation, represent the solution on a number line :
-2(x + 8) ≤ 8, 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.
In the following case, arrange the given integers in descending order using a number line.
-5, -3, 8, 15, 0, -2
For the statement, given below, state whether it is true or false:
The smallest integer is 0.
