For how many integers n, will the inequality $$(n - 5) (n - 10) - 3(n - 2)\leq0$$ be satisfied?

Question

Accepted Answer

( n − 5 ) ( n − 10 ) − 3 ( n − 2 ) ≤ 0 (n - 5) (n - 10) - 3(n - 2)\leq0 ( n − 5 ) ( n − 10 ) − 3 ( n − 2 ) ≤ 0 => n 2 − 15 n + 50 − 3 n + 6 ≤ 0 n^2 - 15n + 50 - 3n + 6 \leq 0 n 2 − 15 n + 50 − 3 n + 6 ≤ 0 => n 2 − 18 n + 56 ≤ 0 n^2 - 18n + 56 \leq 0 n 2 − 18 n + 56 ≤ 0 => ( n − 4 ) ( n − 14

For how many integers n, will the inequality $(n - 5) (n - 10) - 3(n - 2)\leq0$ be satisfied?

For how many integers n, will the inequality $(n - 5) (n - 10) - 3(n - 2)\leq0$ be satisfied?

For how many integers n, will the inequality (n−5)(n−10)−3(n−2)≤0(n - 5) (n - 10) - 3(n - 2)\leq0(n−5)(n−10)−3(n−2)≤0 be satisfied?

For how many integers n, will the inequality (n−5)(n−10)−3(n−2)≤0(n - 5) (n - 10) - 3(n - 2)\leq0(n−5)(n−10)−3(n−2)≤0 be satisfied?

For how many integers n, will the inequality $(n - 5) (n - 10) - 3(n - 2)\leq0$ be satisfied?

For how many integers n, will the inequality $(n - 5) (n - 10) - 3(n - 2)\leq0$ be satisfied?