solve and graph the solution

Question

9n-10>-82 and -1-2n> (or equal to)-5

Answer 1

The  given  inequalities are   9n -10 > -82  and  -1-2n > (or equal  to ) -5

= 9n - 10 > -82

=  9n > -82 +10

=  9n > -72

Multiply  each side by  9

= n > -72/ 9

Therefore n > - 8

-1 -2n ≥ - 5

Add 1 to each side

= -1 -2n +1 ≥ -5 +1

Multiply each side by negative one and flip the symbol

=  2n ≤ 4

Therefore n ≤ 2

The inequality solution is -8< n ≤ 2

Graph of the inequality