Advertisements
Advertisements
Question
Solve the inequation 3x -11 < 3 where x ∈ {1, 2, 3,……, 10}. Also represent its solution on a number line
Solution
3x – 11 < 3
⇒ 3x < 3 + 11
⇒ 3x < 14 x < `(14)/(3)`
But x ∈ 6 {1, 2, 3, ……., 10}
Solution set is (1, 2, 3, 4}
Ans. Solution set on number line
APPEARS IN
RELATED QUESTIONS
Solve the following inequation, write the solution set and represent it on the number line.
`-3(x - 7) >= 15 - 7x > (x+1)/3`, x ∉ R
Represent the following inequalities on real number line:
3x + 1 ≥ – 5
Represent the following inequalities on real number line:
–5 < x ≤ –1
Use the real number line to find the range of values of x for which:
x > 3 and 0 < x < 6
Given A = {x : –1 < x ≤ 5, x ∈ R} and B = {x : – 4 ≤ x < 3, x ∈ R}
Represent on different number lines:
A' ∩ B
Solve the following linear in-equation and graph the solution set on a real number line:
`-3 <= 1/2 - (2 "x")/3 <= 2 2/3` , x ∈ N
Solve the following in equation, write the solution set and represent it on the number line:
`-"x"/3≤ "x"/2 -1 1/3<1/6, "x" in "R"`
Given:
P = {x : 5 < 2x - 1 ≤ 11, x ∈ R}
Q = {x : -1 ≤ 3 + 4x < 23, x ∈ R}
Where R = (real number), I = (Integers) Reperesnr P and Q on number lines. Write down the elements of P ∩ Q.
Solve the following inequalities and represent the solution on a number line:
`(2x + 5)/(4) > (4 - 3x)/(6)`
Solve the given inequation and graph the solution on the number line : 2y – 3 < y + 1 ≤ 4y + 7; y ∈ R.
