Advertisements
Advertisements
Question
Solve and graph the solution set on a number line: x - 5 < -2; x ∈ N.
Solution
x - 5 < -2
⇒ x - 5 + 5 < - 2 + 5 (Adding 5 to both sides)
⇒ x < 3
∴ The required graph is:
APPEARS IN
RELATED QUESTIONS
Solve and graph the solution set on a number line: 7 > 3x – 8 ; x ∈ W
Solve and graph the solution set on a number line: 8x – 8 ≤ – 24 ; x ∈ Z
Solve and graph the solution set on a number line: `"x"/2 > -1 + "3x"/4; "x" ∈ "N"`
Solve and graph the solution set on a number line: `2/3"x" + 5 <= 1/2"x" + 6; "x" ∈ "W"`
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 :
-2(x + 8) ≤ 8, x ∈ R
For the statement, given below, state whether it is true or false:
The smallest integer is 0.
For the statement, given below, state whether it is true or false:
Every negative integar is smaller than 0.
In the following pair of number, a state in which the whole number is on the left of the other number is on the number line. Also write it with the appropriate sign (>, <) between them.
9830415, 10023001
