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-1 ≤ 3 + 2x < 111 - x ≥ -3 or 5x - 1 > 19
Solve the compound inequalities as demonstrated in Elementary and Intermediate Algebra and the Instructor Guidance in the left navigation toolbar, being careful of how a negative x-term is handled in the solving process. Show all math work arriving at the solutions.
Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the solution sets mean, and then display a simple line graph for each solution set as demonstrated in the Instructor Guidance in the left navigation toolbar.
Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):
Swearingen and McDonald, a small furniture manufacturer, produces fine hardwood tables and chairs. Each product must go through three stages in the manufacturing process -assembly, finishing, and inspection
Complex problems
An aquarium has a slate bottom that costs 8 cents/sq inch and glass sides which cost 1 cent/sq inch. The aquarium is to have a volume of 1024 cubic inches.
a merchant has 5 pounds of mixed nuts that cost $30. he wants to add peanuts that cost $1.50 per pound and cashews that cost $4.50 per pound to obtain 50 pounds of a mixture that cost $2.90 per pound. How many pounds of peanuts are needed?
Evaluate the number of license plate from the given data - how many different groups of 4 are made up of 2 boys and 2 girls?
A college cafe receives a profit of $1.25 for each cup of house tea that the sell, $1.40 for each cup of the premium brand, and $1.50 for each cup of their special blend that they sell.
Evaluate the prospect of borrowing money before the first game and evaluate the prospect of paying a friend $100/game to assist.
the man is 5 feet tall. The pole casts a shadow that is 36 feet and the man casts a shadow of 8 feet. How tall is the telephone pole?
a rectangular piece of cardboard is twice as long as it is wide. A 4-cm square is cut out of each corner, and the sides are turned up to make a box with an open top. The volume of the box is 616cm cubed. Find the original dimensions of the cardboa..
Let f(x) = x^3, and compute the Riemann sum of f over the interval [6, 7], choosing the representative points to be the midpoints of the subintervals and using the following number of subintervals (n). (Round your answers to two decimal places.)
Examples of 6-palindromes include {2,5} and the empty set. Show with a combinatorial proof that the number of n-palindromes equals 2^(n/2) for n even, and 2^(n+1/2) for n odd. (Hint: A set of cardinality k has 2k subsets.)
Probability and Random Selection, A 4 person grievance committee is to be composed of employees in 2 departments, A and B, with 15 and 20 employees
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