Solution for 16
Consider,
(a+b+c)2 = a2+b2+c2+2(ab+bc+ca)
We know that, square of any real number is greater than or equal to zero
So,
(a+b+c)2 ≥ 0
⇒ a2+b2+c2+2(ab+bc+ca)≥ 0
⇒ 14+2(ab+bc+ca)≥ 0
⇒ 2(ab+bc+ca)≥ 0-14
⇒ (ab+bc+ca)≥ -14/2
⇒ (ab+bc+ca)≥ -7
So, ans is option 4
(a+b+c)2 = a2+b2+c2+2(ab+bc+ca)
We know that, square of any real number is greater than or equal to zero
So,
(a+b+c)2 ≥ 0
⇒ a2+b2+c2+2(ab+bc+ca)≥ 0
⇒ 14+2(ab+bc+ca)≥ 0
⇒ 2(ab+bc+ca)≥ 0-14
⇒ (ab+bc+ca)≥ -14/2
⇒ (ab+bc+ca)≥ -7
So, ans is option 4