Advertisements
Advertisements
Question
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}.
Advertisements
Solution
5(x – 2) > 4 (x + 3) – 24
⇒ 5x - 10 > 4x + 12 - 24
⇒ 5x - 4x > 10 - 12
⇒ x > -2
Since replacement set ={-4, -3, -2, -1, 0, 1, 2, 3, 4}
∴ Solution set = {-1, 0, 1, 2, 3, 4}
∴ Solution set on a number line is shown below.
APPEARS IN
RELATED QUESTIONS
Solve and graph the solution set on a number line: 5x + 4 > 8x – 11 ; 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 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:
-3 is _________ than 2 and 3 is _______ than – 2.
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 descending order using a number line.
12, 23, -11, 0, 7, 6
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:
0 is greater than every positive integer.
