Mark B. answered • 12/04/17
Tutor
New to Wyzant
PhD Candidate and Math Tutor with 20 Years of Experience: All levels.
Hi Katie,
x + 3x < 24
4x < 24
x < 6 or {-inf, 6} We always include the endpoint in our answer.
When we divided both sides of the inequality by 4 we do NO change the direction of the inequality unless we divide by a negative number according to the mathematical rule regarding inequalities.
Some arithmetic rules to remember when doing inequalities:
First Eliminate fractions by multiplying all terms by the least common denominator of all fractions. (No change when we are multiplying by a positive number.)
Second Simplify by combining like terms on each side of the inequality. (No change)
Third Add or subtract quantities to obtain the unknown on one side and the numbers on the other. (No change)
Fourth Divide each term of the inequality by the coefficient of the unknown. If the coefficient is positive, the inequality will remain the same. If the coefficient is negative, the inequality will be reversed. (This is the important difference between equations and inequalities.)
Let me know if this helped you please. I appreciate feedback. Have a great week at school.
x + 3x < 24
4x < 24
x < 6 or {-inf, 6} We always include the endpoint in our answer.
When we divided both sides of the inequality by 4 we do NO change the direction of the inequality unless we divide by a negative number according to the mathematical rule regarding inequalities.
Some arithmetic rules to remember when doing inequalities:
First Eliminate fractions by multiplying all terms by the least common denominator of all fractions. (No change when we are multiplying by a positive number.)
Second Simplify by combining like terms on each side of the inequality. (No change)
Third Add or subtract quantities to obtain the unknown on one side and the numbers on the other. (No change)
Fourth Divide each term of the inequality by the coefficient of the unknown. If the coefficient is positive, the inequality will remain the same. If the coefficient is negative, the inequality will be reversed. (This is the important difference between equations and inequalities.)
Let me know if this helped you please. I appreciate feedback. Have a great week at school.
Mark B.
Hi Kenneth,
Many thanks! It seems typos have been an issue for me lately. I sincerely do appreciate you pointing this out. I had this same thing occur yesterday, but when dealing with mathematics it can make all the difference in the world. I corrected the typo and once again send my thanks! Have a great day, Sir.
~Mark Bear
Many thanks! It seems typos have been an issue for me lately. I sincerely do appreciate you pointing this out. I had this same thing occur yesterday, but when dealing with mathematics it can make all the difference in the world. I corrected the typo and once again send my thanks! Have a great day, Sir.
~Mark Bear
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12/04/17
Kenneth S.
12/04/17