Question

Danny solved the inequality - 8x > 56 and got x>-7. Is this correct and if not, what mistake did Danny

make. Select your decision and reason from the box below.
Is Danny correct? →
YES
OR
NO
56 divided by -8 is not-7
If no, what mistake did Danny make? →
Danny did not reverse the symbol
It should be 7 not-7

Answer 1

Danny did not reverse the symbol.

Hence, the correct answer is:
`x<-7`

Explanation:

Given the inequality

`- 8x > 56`

We know that when we multiply both sides by -1, the 'inequality' gets reverse.

i.e.

`\left(-8x\right)\left(-1\right)<56\left(-1\right)`

`8x<-56`

Divide both sides by 8

`(8x)/(8)<(-56)/(8)`

`x<-7`

Therefore, Danny did not reverse the symbol.

Hence, the correct answer is:
`x<-7`