Advertisements
Advertisements
Question
For the following inequation, represent the solution on a number line :
`5/2 - "2x" >= 1/2, "x" ∈ "W"`
Advertisements
Solution
`5/2 - "2x" >= 1/2, "x" ∈ "W"`
`=> -2"x" >= 1/2 - 5/2`
`=> -2"x" >= (-4)/2`
`=> "x" <= 1`
∴ x = {0, 1}

APPEARS IN
RELATED QUESTIONS
Solve and graph the solution set on a number line: `"x"/2 > -1 + "3x"/4; "x" ∈ "N"`
Solve and graph the solution set on a number line: `2/3"x" + 5 <= 1/2"x" + 6; "x" ∈ "W"`
For the following inequation, represent the solution on a number line :
4(3x + 1) > 2(4x - 1), x is a negative integer
For the following inequation, represent the solution on a number line :
-2(x + 8) ≤ 8, x ∈ R
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.
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:
The smallest integer is 0.
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.
530, 503
