Advertisements
Advertisements
Question
Find the solution set of the following inequalities and draw the graph of their solutions sets:
`| x + 5 | < 8`
Solution
We have
`| x + 5 | < 8`
Using prop. | x | < a ⇔ - a < x < a
⇒ -8 < x + 5 < 8
⇒ -5 -8 < x < 8 - 5
⇒ -13 < x < 3
The graph of this set is 
APPEARS IN
RELATED QUESTIONS
If the replacement set is the set of whole numbers, solve:
3x – 1 > 8
If the replacement set is the set of whole numbers, solve:
18 ≤ 3x – 2
Solve and graph the solution set of:
3x – 2 > 19 or 3 – 2x ≥ – 7, x ∈ R
Solve and graph the solution set of:
5 > p – 1 > 2 or 7 ≤ 2p – 1 ≤ 17, p ∈ R
Solve for x in the following in equation, if the replacement set is N<10:
2x + 1 < 17
Solve for x in the following in-equation, if the replacement set is R;
7x + 11 > 16 - 3x
Solve for x : `"x"/4 + 3 <= "x"/3 + 4` , where xis a negative odd number.
If x + 17 ≤ 4x + 9, find the smallest value of x, when:
x ∈ R
Solve the following inequalities and graph their solution set
A = {x : 11x -5 ≥ 7x + 3, x ∈ R} and
B = {x : 18x - 9 ≥ 15 + 12x, x ∈ R}
Solve the following inequalities and graph their solution set:
`(2x - 5)/(x + 2) < 2`
