Determine whether the inequalities $- 4 ( x + 10 ) 8$ and $x + 10 - 2$ are equivalent.
A)not equivalent
B)equivalent

Question

Determine whether the inequalities $- 4 ( x + 10 ) > 8$ and $x + 10 > - 2$ are equivalent.
A)not equivalent
B)equivalent

Quizplus · Accepted Answer

These inequalities are not equivalent because their solutions do not overlap. The first inequality implies that $x<-3$, while the second inequality implies that $x>-12$. Therefore, the values of $x$ that satisfy the first inequality (values less than $-3$) do not satisfy the second inequality (because they are not greater than $-12$), and vice versa.

Determine Whether the Inequalities −4(x+10)>8- 4 ( x + 10 ) > 8−4(x+10)>8

Determine Whether the Inequalities $- 4 ( x + 10 ) > 8$