Question - Understanding Inequalities Around -43
Solution:
The image shows an inequality with two blank rectangles and a number in between, written as "< -43 <". To solve it, you need to insert mathematical symbols to make the statement true.Since -43 is a negative number, to make the inequality true, you'd want to indicate that the numbers decreasing from -43 are on the left and the numbers increasing from -43 are on the right. This means that you would use the "greater than" symbol, ">", on the left and the "less than" symbol, "<", on the right to show that the numbers on the left are less than -43 and the numbers on the right are greater than -43.To correctly fill in the blanks, the inequality should read:"< -43 >"This expresses that -43 is greater than the numbers to its left and less than the numbers to its right. However, this statement doesn't follow conventional notation because usually the "less than" symbol point towards the smaller number, making such a completed statement generally incorrect. A correct mathematical statement that reflects the ordering of numbers around -43 would be:"... < -43 < ..."This means any number to the left of -43 is less than it, and any number to the right is greater, which corresponds to the standard number line orientation.
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