Advertisements
Advertisements
Question
Solve and graph the solution set on a number line: `"x"/2 > -1 + "3x"/4; "x" ∈ "N"`
Advertisements
Solution
`"x"/2 > -1 + "3x"/4`
`=> "x"/2 xx 4 > -1 xx 4 + "3x"/4 xx 4` ..(Multiplying both sides by 4)
⇒ 2x > -4 + 3x
⇒ 2x - 2x > - 4 + 3x - 2x ...(Subtracting 2x from both sides)
⇒ 0 > - 4 + x
⇒ 0 + 4 > - 4 + 4 + x ...(Adding 4 to both sides)
⇒ 4 > x
∴ The required graph is:
APPEARS IN
RELATED QUESTIONS
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: 7 > 3x – 8 ; x ∈ W
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:
2 is _______ than – 4 implies 2 is to the ________ of – 4.
Fill in the blanks, using the following number line:
– 4 is _______ than -8 and 4 is _______ than 8.
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:
Since zero is neither negative nor positive; it is not an integer.
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.
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
