
Solving inequality (one side)
Last updated at Dec. 16, 2024 by Teachoo
Transcript
Ex 5.1, 12 Solve the given inequality for real x: 1 2 3 5 +4 1 3 (x 6) 1 2 3 5 +4 1 3 (x 6) 3 3 5 +4 2 (x 6) 3 3 5 + 3 4 2x 2 6 9 5 + 12 2x 12 9 5 2x 12 12 9 5(2 ) 5 24 9 10 5 24 5 24 24 5 120 Since x is negative, we multiply both sides by -1 & change the signs ( 1) ( x) ( 1) ( 120) x 120 Hence, x is a real number which is less than or equal to 120 Hence, x ( 120] is the solution