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What is the solution set of the compound inequality x plus 1 is less than neg2x plus 11 is less than 3x plus 5?
This compound inequality cannot be solved.
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.
How do you solve z plus 7 -14?
-7
How do you solve the square root 5-3x plus 3?
The question contains an algebraic expression but not an equality nor inequality. There is, therefore, nothing that can be solved.
How do you solve x squared -28?
There's nothing to solve. If it equaled something, you could solve it. For example, if x^2 - 28 = 0, then x = the square root of 28, which simplifies to plus or minus 2 times the square root of 7.
