Advertisements
Advertisements
Question
For the following inequation, represent the solution on a number line :
4(3x + 1) > 2(4x - 1), x is a negative integer
Advertisements
Solution
4(3x + 1) > 2(4x - 1), x is a negative integer
⇒ 12x + 4 > 8x - 2
⇒ 12x - 8x > -2 - 4
⇒ 4x > -6
⇒ x > `(-6)/4`
⇒ x > -1.5
∴ x = {-1}
APPEARS IN
RELATED QUESTIONS
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: 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: 8x – 9 > 35 – 3x ; x ∈ N
Solve and graph the solution set on a number line: `"x"/2 > -1 + "3x"/4; "x" ∈ "N"`
Solve `2/3` (x + 1) + 4 < 10 and represent its solution on a number line.
Given replacement set is {-8, -6, -4, 3, 6, 8, 12}.
For the following inequation, represent the solution on a number line :
`(4 - "x")/2 < 3` , x ∈ R
Fill in the blanks, using the following number line:
-3 is _________ than 2 and 3 is _______ than – 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.
9830415, 10023001
