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What are the critical features of an inequality?
An inequality must have a greater than sign (>) OR a less than sign (<) OR a greater than or equal to sign (≥) OR a less than or equal to sign (≤).
Is 4 a solution to the inequality x4?
x^4 is not an inequality. (An inequality has a "bigger than or equal to/less than or equal to/less than/bigger than" sign involved. I.e not an "equals" sign, since this would be an "equality"). But x^4 is not an equality, nor an inequality.
What is the mathematical sentence written with a greater than less than or not equal to sign?
It is an inequality.
What inequality sign no less than?
"No less than" is the same as "greater than or equal": write the greater-than sign, with a line (similar to an underline) underneath.
Why it is necessary to reverse the inequality symbol when multiplying both side of an inequality by a negative number?
You need to reverse the inequality symbol when multiplying both sides of an inequality by a negative number because you are changing the sign of both sides of the equation. Since inequality, such as "less than", means "to the left of" on the number line (where left is minus and right is plus) then a number that is less than another will be greater than the other if the signs were reversed. Example: 3 is less than 4, but -3 is greater than -4.
