Answer:
[tex]\displaystyle (-\infty,\frac{1}{7})[/tex]
Step-by-step explanation:
Inequalities
To solve the inequality:
[tex]-w+9>6w+8[/tex]
We need to perform the required operations on both sides of the inequality to have the variable w isolated.
First, we subtract 9:
[tex]-w+9>6w+8[/tex]
[tex]-w>6w+8-9[/tex]
Subtracting 6w:
[tex]-w-6w>+8-9[/tex]
Operating:
-7w>-1
Now we divide by -7 but recall that when dividing by a negative number, we must flip the inequality sign:
[tex]\displaystyle w<\frac{-1}{-7}[/tex]
Operating:
[tex]\displaystyle w<\frac{1}{7}[/tex]
Solution:
[tex]\mathbf{\displaystyle (-\infty,\frac{1}{7})}[/tex]
