Question

Solve for w: 7w < -56

Answer 1

Lets solve

`\\ \sf\longmapsto 7w<-56`

• Take 7 to right side

`\\ \sf\longmapsto w<dfrac{-56}{7}`

• Simplify

`\\ \sf\longmapsto w<-8`

Answer 2

`\boxed {\boxed {\sf w < -8}}`

Explanation:

We are given an inequality and asked to solve for the variable w.

`7w < -56`

In order to solve for w, we must isolate the variable. It is being multiplied by 7. The inverse of multiplication is division, so we divide both sides of the inequality by 7.

`\frac {7w}{7} < \frac {-56}{7}`

`w < (-56)/(7)`

`w < -8`

w is less than -8 or w < -8.