Question

-1+5n>-26 and 7n-2≤12

Answer 1

To solve the first inequality, subtract -1 from both sides and divide by 5. For the second inequality, add 2 to both sides and divide by 7.

Step-by-step explanation:

To solve the inequality -1+5n>-26, we need to isolate the variable n.

We can start by subtracting -1 from both sides to get 5n > -25.

Then, we divide both sides by 5 to get n > -5.

So the solution for -1+5n>-26 is n > -5.

For the inequality 7n-2≤12, we need to isolate the variable n as well.

We can start by adding 2 to both sides to get 7n ≤ 14.

Then, we divide both sides by 7 to get n ≤ 2.

So the solution for 7n-2≤12 is n ≤ 2.

Answer 2

n > -5 and n ≤ 2

Step-by-step explanation:

⇒ -1 + 5n > -26

⇒ 5n > -25

⇒ n > -5

and,

⇒ 7n - 2 ≤ 12

⇒ 7n ≤ 14

⇒ n ≤ 2