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 - 5 < -2; x ∈ N.
Solve and graph the solution set on a number line: `"2x"/5 + 1 < -3; "x" ∈ "R"`
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 :
`(4 - "x")/2 < 3` , x ∈ R
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.
In the following case, arrange the given integers in ascending order using a number line.
3, – 3, 4, – 7, 0, – 6, 2
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.
