Which of the following inequalities are correct? Choose all answers that apply: (A) \( 10<-1 \) B \( -10<1 \) C \( -1<-10 \)
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The Deep Dive
Let’s have a little fun with these inequalities! Firstly, inequality (A) \( 10 < -1 \) is like saying a mountain is lower than a valley—definitely not true! On the other hand, inequality (B) \( -10 < 1 \) shines bright like a diamond; it’s absolutely correct since -10 is indeed less than 1. Lastly, inequality (C) \( -1 < -10 \) flips reality upside down; it’s incorrect because -1 is greater than -10. So only (B) is the winner here! In the world of inequalities, it's essential to visualize the number line. Picture it: numbers to the left are always smaller, and numbers to the right are larger. This mental map can help prevent those pesky mistakes like mixing up the signs, making it easier to determine which inequality stands true!