Question

For how many integers n will the inequality (n-5)(n-10)-3(n-2)<=0 be satisfied?

Answer 1

we can write them separately as

n-5<=0

n<=5

n-10<=0

n<=10

-3(n)-2<=0

n=2/3

hence three numbers will satisfy the given inequality

2/3,  , 5  and 10

Answer 2

Answer:

(n-5)(n-10)-3(n-2)<=0

n²-15n+50-3n+6<=0

n²-18n+56<=0

(n-14)(n-4)<=0

4<=n<=14

n={4,5,6,7,8,9,10,11,12,13,14}

Therefore,total  numbers=11

Step-by-step explanation: