I need help solving the inequality and graphing its solution
in Algebra 1 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

Add 1 to each side so as to separate knowns from unknowns: 5>x/3. Multiply through by 3: 15>x. Turn this round: x<15 and that's the answer. To graph the result you only need a straight line representing x. Mark the point 15. Everything to the left of that point (negative side) represents the solution x<15. Note that the actual point where x=15 is not included in the solution, since x must be strictly less than 15. To show that the answer is correct pick a value of x less than 15, say 12, and substitute into the original inequality: 4>-1+12/3 is 4>-1+4 or 4>3, which is true. Pick a value of x bigger than 15, say 18, and 4>-1+6 or 4>5 isn't true, as we would expect, since we picked an x value outside the range of the solution. If we pick x=15 (out of range) we get 4>-1+5 or 4>4 which also isn't true.

by Top Rated User (711k points)

Related questions

2 answers
1 answer
1 answer
asked Aug 17, 2014 in Algebra 1 Answers by anonymous | 130 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
84,419 questions
89,245 answers
1,990 comments
7,561 users