Advertisements
Advertisements
प्रश्न
Solve and graph the solution set on a number line: -3x + 12 < -15 ; x ∈ R.
Advertisements
उत्तर
-3x + 12 < -15
⇒ -3x + 12 - 12 < - 15 -12 (Subtracting 12 from both sides)
⇒ -3x < -27
⇒ `(-"3x")/-3 > (-27)/(-3)` (Dividing both sides by -3)
Note: Division by a negative number reverses the inequality.
⇒ x > 9
∴ The required graph is:
APPEARS IN
संबंधित प्रश्न
Solve and graph the solution set on a number line: 3x – 1 > 5 ; 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: 8x – 9 > 35 – 3x ; x ∈ N
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"`
For the following inequation, represent the solution on a number line :
`5/2 - "2x" >= 1/2, "x" ∈ "W"`
Fill in the blanks, using the following number line:
-6 is ______ than 3 and the opposite of -6 is ______than opposite of 3.
In the following case, arrange the given integers in ascending order using a number line.
3, – 3, 4, – 7, 0, – 6, 2
In the following case, arrange the given integers in descending order using a number line.
-5, -3, 8, 15, 0, -2
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.
98765, 56789
