Q. 83.6( 28 Votes )
Solve the inequalities in Exercises 5 to 16 for real x:
3 (2 – x) ≥ 2 (1 – x)
Answer :
It is given in the question that,
3 (2 – x) ≥ 2 (1 – x)
6 – 3x ≥ 2 – 2x
Adding 2x to both the sides,
6 – 3x+ 2x ≥ 2 – 2x+ 2x
6 – x≥ 2
Subtracting 6 from both the sides,
6 – x – 6 ≥2 – 6
- x ≥ -4
x ≤ 4
∴ The solutions of the given inequality are defined by all the real numbers greater than or equal to 4.
Thus, (- ∞, 4] is the required solution set.
Rate this question :
Discussion | Miscellaneous Exercise | NCERT Chapter 6| Linear Inequalities33 mins
Interactive Quiz on Equations & inequations63 mins
Let's Play the Game of Inequalities52 mins
Lecture on inequalities involving AM & GM56 mins
Concept of Linear momentum and its conservation40 mins
Miscellaneous Interactive Quiz on Trigonometry+ Complex number+Inequalities43 mins
Check your understanding of linear momentum22 mins
Interactive quiz on inequalities involving AM and GM45 mins
Conservation of Linear Momentum, Visualize the concept (Theory + Interactive Quiz)41 mins
Solve each of the following system of equations in R.
A solution is to be kept between 30oC and 35oC. What is the range of temperature in degree Fahrenheit?
RD Sharma - Mathematics
Solve the following systems of linear in equations:
–11 ≤ 4x – 3 ≤ 13
RS Aggarwal - Mathematics
Solve the following systems of linear in equations:
, x > 0
RS Aggarwal - Mathematics
Solve each of the following in equations and represent the solution set on the number line.
x - 4 > 1, x ≠ 4.
RS Aggarwal - Mathematics
Solve each of the following in equations and represent the solution set on the number line.
|x + a| + |x| > 3, x ϵ R.
RS Aggarwal - Mathematics
Solve each of the following in equations and represent the solution set on the number line.
1, x ϵ R – {–2, 2}
RS Aggarwal - Mathematics
Solve x + 5 > 4x – 10, when x ϵ R.
RS Aggarwal - MathematicsFind the solution set of the inequation 
< 1.
