Advertisements
Advertisements
Question
Solve and graph the solution set on a number line: 7 > 3x – 8 ; x ∈ W
Advertisements
Solution
7 ≥ 3x – 8
⇒ 7 + 8 ≥ 3x - 8 8 (Adding 8 to both sides)
⇒ 15 ≥ 3x
⇒ `15/3` ≥ `"3x"/3` (Dividing both sides by 3)
⇒ 5 ≥ x
∴ The required graph is:

APPEARS IN
RELATED QUESTIONS
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}.
Fill in the blank, using the following number line:

An integer, on the given number line, is greater than every number to its_______
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:

– 4 is _______ than -8 and 4 is _______ than 8.
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.
12, 23, -11, 0, 7, 6
For the statement, given below, state whether it is true or false:
0 is greater than every positive integer.
For the statement, given below, state whether it is true or false:
The opposite of zero is zero.
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
