Asked by Nicole Moffe on May 19, 2024
Verified
Determine whether the inequalities −4(x+10) >8- 4 ( x + 10 ) > 8−4(x+10) >8 and x+10>−2x + 10 > - 2x+10>−2 are equivalent.
A) not equivalent
B) equivalent
Inequalities
Mathematical statements that compare two expressions using inequality symbols, showing if one is less than, greater than, or not equal to the other.
Equivalent
Two expressions that have the same value or represent the same mathematical quantity.
- Understand and apply basic algebraic operations to solve inequalities.
Verified Answer
BG
Brianne GomezMay 24, 2024
Final Answer :
A
Explanation :
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.
Learning Objectives
- Understand and apply basic algebraic operations to solve inequalities.