Question

X + 8 >9 and x/7 <1 please help me !!!

Answer 1

1<x<7

Explanation:

Solve for x in (x/7)<1. This is just:

(X/7)*7<1*7

X<7

Solve for x in x+8>9. This is just:

X+8-8>9-8

x>1

The solution set has to be in both of the solution sets of each inequality because of the fact it uses ‘and’.This means you want to find the intersecting section of both inequalities. The only intersecting parts of x>1 and x<7 is when x is between 1 and 7. So:

1<x<7

Hope this helps!

Answer 2

x > 1 | x > 7

Explanation:

x + 8 > 9

(isolate variable, same on both sides)

x > 9 - 8

(simplify)

x > 1

.....

x/7 < 1

(isolate variable, same on both sides)

x > 1*7

(inequality flips with multiplication or division...)

(simplify)

x > 7