Practice
1. A scholarship administrator is using a $500,000 endowment to purchase two bonds. A corporate bond pays 8% interest per year and a safer treasury bond pays 5 ¼ % interest per year. If he needs at least $30,000 annual interest payments, what is the least he can spend on the corporate bond?
Alfi Blog April 02, 2026 Admin Bandung IndonesiaPractice
1. A scholarship administrator is using a $500,000 endowment to purchase two bonds. A corporate bond pays 8% interest per year and a safer treasury bond pays 5 ¼ % interest per year. If he needs at least $30,000 annual interest payments, what is the least he can spend on the corporate bond?
Applications
Linear inequality word problems are solved much the same way as linear equality word problems. There are two important differences. Multiplying and dividing both sides of an inequality by a negative quantity requires that the sign reverse. You must also decide which inequality sign to use: <, >, ≤, and ≥. The following tables should help.
Alfi Blog April 01, 2026 Admin Bandung IndonesiaApplications
Linear inequality word problems are solved much the same way as linear equality word problems. There are two important differences. Multiplying and dividing both sides of an inequality by a negative quantity requires that the sign reverse. You must also decide which inequality sign to use: <, >, ≤, and ≥. The following tables should help.
The symbol for infinity is ‘‘∞,’’ and ‘‘-∞’’ is the symbol for negative infinity. These symbols mean that the numbers in the interval are getting larger in the positive or negative direction. The intervals for the previous examples and practice problems are called infinite intervals.
Alfi Blog Maret 31, 2026 Admin Bandung IndonesiaThe symbol for infinity is ‘‘∞,’’ and ‘‘-∞’’ is the symbol for negative infinity. These symbols mean that the numbers in the interval are getting larger in the positive or negative direction. The intervals for the previous examples and practice problems are called infinite intervals.
Solving Linear Inequalities
Linear inequalities are solved much the same way as linear equations with one exception: when multiplying or dividing both sides of an inequality by a negative number the inequality sign must be reversed For example 2 < 3 but –2 > –3. Adding and subtracting the same quantity to both sides of an inequality never changes the direction of the inequality sign.
Alfi Blog Maret 30, 2026 Admin Bandung IndonesiaSolving Linear Inequalities
Linear inequalities are solved much the same way as linear equations with one exception: when multiplying or dividing both sides of an inequality by a negative number the inequality sign must be reversed For example 2 < 3 but –2 > –3. Adding and subtracting the same quantity to both sides of an inequality never changes the direction of the inequality sign.
Linear Inequalities
The solution to algebraic inequalities consists of a range (or ranges) of numbers. The solution to linear inequalities will be of the form x < a, x ≤ a, x > a, or x ≥ a, where a is a number. The inequality x < a means all numbers smaller than a but not including a; x ≤ a means all numbers smaller than a including a itself. Similarly the inequality x > a means all numbers larger than a but not a itself, and x ≥ a means all numbers larger than a including a itself.
Alfi Blog Maret 29, 2026 Admin Bandung IndonesiaLinear Inequalities
The solution to algebraic inequalities consists of a range (or ranges) of numbers. The solution to linear inequalities will be of the form x < a, x ≤ a, x > a, or x ≥ a, where a is a number. The inequality x < a means all numbers smaller than a but not including a; x ≤ a means all numbers smaller than a including a itself. Similarly the inequality x > a means all numbers larger than a but not a itself, and x ≥ a means all numbers larger than a including a itself.
