Example 10 - Chapter 5 Class 11 Linear Inequalities
Last updated at April 16, 2024 by Teachoo
Solving inequality (both sides)
Last updated at April 16, 2024 by Teachoo
Example 10 Solve 5 5 3 2 8. 5 5 3 2 8 Multiplying 2 all sides (Eliminating 2) 5 2 5 3x 8 2 10 5 3x 16 Subtracting 5 all sides (Eliminating 5) 10 5 5 3x 5 16 5 10 5 5 3x 5 16 5 15 3x 11 Dividing 3 all sides (Eliminating 3) 15 3 3 3 11 3 -5 11 3 Since x is negative, we multiply both sides by -1 & change the signs ( 1) (-5) ( 1) ( x) ( 1) ( 11 3 ) 5 x 11 3 11 3 x 5 Thus, x is a real number which is less than or equal to 5 and greater than or equal to 11 3 Hence, x , 5 is the solution