Question

Solve the following inequality for w then simplify -w+9>6w+8

Answer 1

Answer:

$\displaystyle (-\infty,\frac{1}{7})$

Step-by-step explanation:

Inequalities

To solve the inequality:

$-w+9>6w+8$

We need to perform the required operations on both sides of the inequality to have the variable w isolated.

First, we subtract 9:

$-w+9>6w+8$

$-w>6w+8-9$

Subtracting 6w:

$-w-6w>+8-9$

Operating:

-7w>-1

Now we divide by -7 but recall that when dividing by a negative number, we must flip the inequality sign:

$\displaystyle w$

Operating:

$\displaystyle w$

Solution:

$\mathbf{\displaystyle (-\infty,\frac{1}{7})}$