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: 3x – 1 > 5 ; x ∈ W
Solve and graph the solution set on a number line: 8x – 9 > 35 – 3x ; x ∈ N
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}.
Fill in the blank, using the following number line:

An integer, on the given number line, is greater than every number to its_______
In the following case, arrange the given integers in descending order using a number line.
-5, -3, 8, 15, 0, -2
In the following case, arrange the given integers in descending order using a number line.
12, 23, -11, 0, 7, 6
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 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
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
