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: x - 5 < -2; x ∈ N.
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: `"2x"/5 + 1 < -3; "x" ∈ "R"`
Fill in the blank, using the following number line:

An integer, on the given number line, is ________ than every number on its left.
In the following case, arrange the given integers in ascending order using a number line.
– 8, 0, – 5, 5, 4, – 1
In the following case, arrange the given integers in descending order using a number line.
-5, -3, 8, 15, 0, -2
For the statement, given below, state whether it is true or false:
Since zero is neither negative nor positive; it is not an integer.
For the statement, given below, state whether it is true or false:
The opposite of -17 is 17.
For the statement, given below, state whether it is true or false:
Every negative integar is smaller than 0.
In the following pairs of numbers, 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.
370, 307
