Advertisements
Advertisements
Question
If 5x – 3 ≤ 5 + 3x ≤ 4x + 2, express it as a ≤ x ≤ b and then state the values of a and b.
Solution
5x – 3 ≤ 5 + 3x ≤ 4x + 2
5x – 3 ≤ 5 + 3x and 5 + 3x ≤ 4x + 2
2x ≤ 8 and – x ≤ – 3
x ≤ 4 and x ≥ 3
Thus, 3 ≤ x ≤ 4
Hence, a = 3 and b = 4
APPEARS IN
RELATED QUESTIONS
Solve the inequation:
3 – 2x ≥ x – 12 given that x ∈ N.
For graph given alongside, write an inequation taking x as the variable:
Solve and graph the solution set of:
2x – 9 ≤ 7 and 3x + 9 > 25, x ∈ I
Solve for x in the following in equation, if the replacement set is N<10:
8 - 3x > 2
Solve for x in the following in equation, if the replacement set is N<10:
5 - 2x < 11
Solve for x : `"x"/4 + 3 <= "x"/3 + 4` , where xis a negative odd number.
Given that x ∈ R, solve the following inequality and graph the solution on the number line:
-1 ≤ 3 + 4x < 23
For each inequality, determine which of the given numbers are in the solution set:
2x + 3 >11; -3, 4, 5, 7
Solve the following inequalities in the given universal set:
3x - 5 > x + 7: x ∈ N
The value of x, for 4(2x – 5) < 2x + 28, x ∈ R is ______.
