# How do you solve 7-2w/3>1?

Aug 29, 2016

w < 9 Work backwards to solve for w

#### Explanation:

PEMDAS is the order of operations. to find something lost work backward PE SAD M (Think if you find you have lost your cell phone in PE your are a SAD M(am) M,(an)

Parenthesis and Exponents must be done first. There are no Parenthesis or Exponents in this inequality. The Subtraction and Addition must be done next, because you are working backwards.

To move the 7 away from the w subtract 7 from both sides.

7 - 7 $- 2 \times \left(\frac{w}{3}\right) > 1$ -7 this gives t
$- 2 \times \left(\frac{w}{3}\right)$ > -6

The opposite of multiplying by 2 is dividing by 2 so

$- \frac{2}{2} \times \left(\frac{w}{3}\right)$ > $- \frac{6}{2}$ This gives

$- \frac{w}{3}$ > -3

The opposite of dividing by 3 is multiplying by 3 so

$3 \times - \left(\frac{w}{3}\right)$ > $- 3 \times 3$ This gives

• w > - 9

The opposite of multiplying by -1 is dividing by -1 so

$- \frac{1}{-} 1 \times w$ $\frac{>}{-} 1$ $- \frac{9}{-} 1$

$- \frac{1}{-} 1$ = 1

$\frac{>}{-} 1$ = < The opposite of > is < so dividing by negative means doing the opposite, so the > becomes a <

$- \frac{9}{-} 1$ = 9 so

w < 9

remember a negative means the opposite so the opposite of
-9 is + 9 the opposite of > is <