Advertisements
Advertisements
Question
For the following inequation, represent the solution on a number line :
-2(x + 8) ≤ 8, x ∈ R
Advertisements
Solution
-2(x + 8) ≤ 8, x ∈ R
- 2x - 16 ≤ 8
⇒ - 2x ≤ 8 + 16
⇒ - 2x ≤ 24
⇒ x ≥ `(-24)/2`
x ≥ -12
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: 5x + 4 > 8x – 11 ; x ∈ Z
Solve and graph the solution set on a number line: `"2x"/5 + 1 < -3; "x" ∈ "R"`
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}.
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 :
`(4 - "x")/2 < 3` , x ∈ R
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:
5 is _______ than 2 and -5 is ______ than – 2.
In the following case, arrange the given integers in descending order using a number line.
-5, -3, 8, 15, 0, -2
For the statement, given below, state whether it is true or false:
The opposite of zero is zero.
