Question

Solve (x+1<4) (x-8>-7).

Answer 1

To solve this inequality, we need to solve each inequality separately and then find the values of x that satisfy both inequalities.

First, let's solve the inequality (x+1 < 4):

x + 1 < 4

x < 4 - 1

x < 3

Next, let's solve the inequality (x-8 > -7):

x - 8 > -7

x > -7 + 8

x > 1

Now we need to find the values of x that satisfy both inequalities. Since x must be less than 3 and greater than 1, we can write:

1 < x < 3

Therefore, the solution to the inequality (x+1<4) (x-8>-7) is 1 < x < 3.

Explanation: