Advertisements
Advertisements
Question
Solve the following linear in-equation and graph the solution set on a real number line:
`5/4 "x" > 1 + 1/3 (4"x" - 1)` , x ∈ R
Solution
`5/4 "x" > 1 + 1/3 (4"x" - 1)`
`5/4 "x" > (3 + (4"x" - 1))/3`
15x > 12 + 16x - 4
15x - 16x > 8
- x > 8
x < -8
Solution set = [x < -8]
APPEARS IN
RELATED QUESTIONS
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 < 0 and –3 ≤ x < 1
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 inequation and represent the solution set on the number line:
`4x - 19 < (3x)/5 - 2 <= (-2)/5 + x, x ∈ R`
Find the values of x, which satisfy the inequation
`-2 5/6 < 1/2 - (2x)/3 <= 2`, x ∈ W
Graph the solution set on the number line.
Graph the solution set for each inequality:
x < 4
Graph the solution set for each inequality:
-3< x ≤ 8
Find the values of x, which satisfy the inequation : `-2 ≤ (1)/(2) - (2x)/(3) ≤ 1(5)/(6)`, x ∈ N. Graph the solution set on the number line.
Solve the inequation 2x – 5 ≤ 5x + 4 < 11, where x ∈ I. Also represent the solution set on the number line.
For the following real number line, the solution set is: