Asked by Valeria Katona on Sep 23, 2024
Verified
Rewrite ∣y+6∣<5| y + 6 | < 5∣y+6∣<5 as a double inequality.
A) −5<y+6<5- 5 < y + 6 < 5−5<y+6<5
B) −6<y+6<5- 6 < y + 6 < 5−6<y+6<5
C) −6<y+6<6- 6 < y + 6 < 6−6<y+6<6
D) −5<y+6<11- 5 < y + 6 < 11−5<y+6<11
E) −6<y+5<5- 6 < y + 5 < 5−6<y+5<5
Double Inequality
An expression that involves two inequality signs, indicating that a value is within a certain range.
- Decode mathematical expressions visually, associating graphs and intervals with their respective inequalities.
Verified Answer
DP
Deepa Prasaiabout 7 hours ago
Final Answer :
A
Explanation :
The correct way to rewrite ∣y+6∣<5| y + 6 | < 5∣y+6∣<5 as a double inequality is by removing the absolute value and setting up the inequality as −5<y+6<5- 5 < y + 6 < 5−5<y+6<5 , which directly translates the absolute value condition into a range for y+6y + 6y+6 .
Learning Objectives
- Decode mathematical expressions visually, associating graphs and intervals with their respective inequalities.