Compound Inequality "AND" example

Write an inequality of the form 𝘹 > 𝘤 or 𝘹 < 𝘤 to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form 𝘹 > 𝘤 or 𝘹 < 𝘤 have infinitely many solutions; represent solutions of such inequalities on number line diagrams.

Solve word problems leading to inequalities of the form 𝘱𝘹 + 𝘲 > 𝘳 or 𝘱𝘹 + 𝘲 < 𝘳, where 𝘱, 𝘲, and 𝘳 are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.