Advertisements
Advertisements
प्रश्न
Solve and graph the solution set on a number line: 8x – 9 > 35 – 3x ; x ∈ N
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: 3x – 1 > 5 ; x ∈ W
Solve and graph the solution set on a number line: -3x + 12 < -15 ; x ∈ R.
Solve and graph the solution set on a number line: 5x + 4 > 8x – 11 ; x ∈ Z
Solve and graph the solution set on a number line: `2/3"x" + 5 <= 1/2"x" + 6; "x" ∈ "W"`
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"`
Fill in the blanks, using the following number line:
5 is _______ than 2 and -5 is ______ than – 2.
Fill in the blanks, using the following number line:
8 is _______ than -5 and -8 is ______than -5.
For the statement, given below, state whether it is true or false:
The opposite of -17 is 17.
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.
530, 503
