Advertisements
Advertisements
प्रश्न
Solve and graph the solution set on a number line: `"2x"/5 + 1 < -3; "x" ∈ "R"`
Advertisements
उत्तर
`"2x"/5 + 1 < -3`
⇒ `"2x"/5 + 1 - 1 < - 3 - 1` (Subtracting 1 from both sides)
⇒ `"2x"/5 < -4`
⇒ `"2x"/5 xx 5 < - 4 xx 5` ...(Multiplying both sides by 5)
⇒ 2x < - 20
⇒ `"2x"/2 < (-20)/2` ...(Dividing both sides by 2)
⇒ x < -10
∴ The required graph is:
APPEARS IN
संबंधित प्रश्न
Fill in the blank, using the following number line:
An integer, on the given number line, is ________ than every number on its left.
Fill in the blanks, using the following number line:
-3 is _________ than 2 and 3 is _______ than – 2.
Fill in the blanks, using the following number line:
8 is _______ than -5 and -8 is ______than -5.
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:
The smallest integer is 0.
For the statement, given below, state whether it is true or false:
The opposite of zero is zero.
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.
530, 503
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
