Advertisements
Advertisements
Question
Solve and graph the solution set of:
2x – 9 < 7 and 3x + 9 ≤ 25, x ∈ R
Solution
2x – 9 < 7 and 3x + 9 ≤ 25
2x < 16 and 3x ≤ 16
x < 8 and x ≤ `5 1/3`
∴ Solution set = `{x <= 5 1/3, x ∈ R}`
The required graph on number line is
APPEARS IN
RELATED QUESTIONS
For graph given alongside, write an inequation taking x as the variable:
Represent the solution of the following inequalities on the real number line:
2 – 3x > 7 – 5x
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 R;
2x - 3 < 7
Solve for x in the following in-equation, if the replacement set is R;
9 - 4x ≤ 15 - 7x
Solve for x : `("x" + 3)/3 <= ("x" + 8)/4` , where x is a positive even number.
Solve the following inequalities in the given universal set:
3x - 5 > x + 7: x ∈ N
Find the solution set of the following inequalities and draw the graph of their solutions sets:
| 3 - 2x | ≥ 2
Find the solution set of the following inequalities and draw the graph of their solutions sets:
`(3)/|x - 2| > 5`.
Find the greatest integer which is such that if 7 is added to its double, the resulting number becomes greater than three times the integer.