Equations-And-Inequalities Question 60
Question: The solution set of the inequalities $ 3x-7>2(x-6) $ and $ 6-x>11-2x, $ is
Options:
A) $ (-5,\infty ) $
B) $ [5,\infty ) $
C) $ (5,\infty ) $
D) $ [-5,\infty ) $
Correct Answer: C $ \Rightarrow 3x-7>2x-12 $ $ \Rightarrow x>-5 $ ?. (i)
And $ 6-x>11-2x $ $ \Rightarrow x>5 $ ? (ii)
Draw the graph of in equations (i) and (ii) o the number line,
Hence, solution set of the equations are real numbers, x lying on greater than 5 excluding 5.
i.e., $ x>5 $ Show Answer
Answer:
Solution:
Transferring the term 2x to L.H.S. and the term (-7) to R.H.S., $ 3x-2x>-12+7 $
Transferring the term $ (-2x) $ to L.H.S. and the term 6 to R.H.S. $ -x+2x>11-6 $
$ \therefore $ solution set is $ (5,,\infty ) $
BETA
