Advertisements
Advertisements
Question
Solve and graph the solution set on a number line: 5x + 4 > 8x – 11 ; x ∈ Z
Advertisements
Solution
5x + 4 > 8x – 11
⇒ 5x - 5x + 4 > 8x - 5x - 11 ..(Subtracting 5x from both sides)
⇒ 4 > 3x - 11
⇒ 4 + 11 > 3x - 11 + 11 ...(Adding 11 to both sides)
⇒ 15 > 3x
⇒ `15/3` > `"3x"/3` ...(Dividing both sides by 3)
⇒ 5 > x
∴ The required graph is:
APPEARS IN
RELATED QUESTIONS
Solve and graph the solution set on a number line: 8x – 9 > 35 – 3x ; x ∈ N
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}.
Solve `2/3` (x + 1) + 4 < 10 and represent its solution on a number line.
Given replacement set is {-8, -6, -4, 3, 6, 8, 12}.
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:
5 is _______ than 2 and -5 is ______ than – 2.
Fill in the blanks, using the following number line:
-6 is ______ than 3 and the opposite of -6 is ______than opposite of 3.
In the following case, arrange the given integers in ascending order using a number line.
– 8, 0, – 5, 5, 4, – 1
For the statement, given below, state whether it is true or false:
0 is greater than every positive integer.
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.
370, 307
