Advertisements
Advertisements
Question
Solve and graph the solution set on a number line: 8x – 9 > 35 – 3x ; x ∈ N
Advertisements
Solution
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
RELATED QUESTIONS
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 :
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 greater than every number to its_______
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.
For the statement, given below, state whether it is true or false:
The opposite of zero is zero.
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
