I am plan to answer this question, but you have received this good answer.
Solve each inequality, 7n -2(n+5) < 3n -16?
7n - 2(n + 5) < 3n -16 (your problem statement) 7n - 2n - 10 < 3n - 16 (eliminate parentheses using the distributive property) 5n - 10 < 3n - 16 (collect terms) 2n - 10 < -16 (subtract 3n) 2n < -6 (add 10) n < -3 (divide by 2)
Inequalities are solved in exactly the same way as equations, with one exception. Multiplication or division by a negative number reverses the sense of the inequality. Example -n > 2 n < -2 Note that in your problem we divided by +2, so the sense of the inequality was not changed.
Inequalities are solved in exactly the same way as equations, with one exception. Multiplication or division by a negative number reverses the sense of the inequality. Example -n > 2 n < -2 Note that in your problem we divided by +2, so the sense of the inequality was not changed.