Q. 64.3( 28 Votes )
Solve the inequalities in Exercises 5 to 16 for real x:
3x – 7 > 5x – 1
Answer :
It is given in the question that,
3x – 7 > 5x – 1
Adding 7 to both the sides,
3x – 7 + 7 > 5x – 1 + 7
3x> 5x + 6
Subtracting 5x from both the sides,
3x – 5x > 5x + 6 – 5x
-2x > 6
Dividing both sides by -2
x < -3
∴ The solutions of the given inequality are defined by all the real numbers less than -3.
Thus, (-∞, -3) is the required solution set.
Rate this question :




















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 - MathematicsA company manufactures cassettes and its cost and revenue functions for a week are and R = 2x respectively, where x is the number of cassettes produced and sold in a week. How many cassettes must be sold for the company to realize a profit?
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.