Question
Mathematics Question on Determinants
The solution set of the inequality 37−(3x+5)≥9x−8(x−3) is
A
(−∞,2)
B
(−∞,−2)
C
(−∞,2]
D
(−∞,−2]
Answer
(−∞,2]
Explanation
Solution
We have, 37−(3x+5)≥9x−8(x−3) (37−3x−5)≥9x−8x+24 ⇒32−3x≥x+24 Transferring the term 24 to L.H.S. and the term (−3x) to R.H.S. 32−24≥x+3x⇒8≥4x⇒4x≤8 Dividing both sides by 4, 44x≤48⇒x≤2 ∴ Solution set is (−∞,2].