Advertisements
Advertisements
Question
For each inequality, determine which of the given numbers are in the solution set:
2x + 3 >11; -3, 4, 5, 7
Solution
If x = -3
Then 2x + 3 = 2 x (-3) + 3 = -3
Since, -3 > 11 is false.
So -3 is not in the solution of 2x + 3 > 11
If, x = 4, en 2x + 3 = 2 x 4 + 3 = 11
since 11 > 11 is false.
So 4 is not in the solution of 2x + 3 > 11
If x = 5, en 2x + 3 = 2 x 5 + 3 = 13
Since,13 > 11 is true ;
So, 5 is in the solution of 2x + 3 >11
Similarly, x = 7 is in the solution of 2x 3 > 11.
APPEARS IN
RELATED QUESTIONS
If x ∈ N, find the solution set of inequations.
5x + 3 ≤ 2x + 18
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:
`x - 3/2 < 3/2 - x`
If the replacement set is the set of whole numbers, solve:
18 ≤ 3x – 2
Given x ∈ {whole numbers}, find the solution set of:
–1 ≤ 3 + 4x < 23
Solve for x in the following in-equation, if the replacement set is R;
14 - 3x > 5
Solve for x : `"x"/4 + 3 <= "x"/3 + 4` , where xis a negative odd number.
Graph the solution sets of the following inequalities:
3x - 5 ≤ - 7, x ∈ I.
If a < b, then a – c < b – c
The value of x for the inequation 3x + 15 < 5x + 13, x ∈ Z is ______.
