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

Answer:

Danny did not reverse the symbol.

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

Step-by-step 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

$\frac{8x}{8}<\frac{-56}{8}$

$x<-7$

Therefore, Danny did not reverse the symbol.

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