2.4 Solving Linear Inequalities 1/5/2016. Let s practice. x > 5 -x

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1 //0 (Khan Academ) Solving Linear Inequalities > - - (Khan Academ) Let s practice *** If ou multipl or divide both sides of an inequalit b a negative, then what happens? (Khan Academ) Let s tr another problem 8 + > +. Solving Linear Inequalities Solve the following inequalities. a. b 0 0 b. 8g g.-

2 //0 Solve the inequalit numericall using the calculator table. Solving Sstems of Equations Graphicall (Khan Academ) = + = What is the point that satisfies both of these equations? Solving Sstems of Equations Graphicall = = Using the printing flers classroom eample from section., we get the following: n= number of flers printed T(n)= cost in dollars to print flers using the traditional printing method D(n)=cost in dollars to print flers using digital printing T(n)=0+0.n D(n)=0+0.0n Find for what numbers of flers the traditional printing method would be cheaper than the digital prints. What is the point that satisfies both of these equations? 8

3 //0 (Khan Academ) Graphing Inequalities + (Khan Academ) Graphing Inequalities > Solve the inequalit graphicall (Khan Academ) Solving Absolute Value Inequalities <.-

4 //0 (Khan Academ) Solving Absolute Value Inequalities + < Solve the following equations a. + = + 9 b. + = 0.- Solve the following equation. c. m + = 8 Compound Inequalities Displa the following inequalities on a number line and in interval notation: a. < b. < or >

5 //0 Write the given interval using a compound inequalit. a. Tortoise and Hare Eample Derive and graph the equations of the lines in order to find the intersection of the tortoise and hare. b. Miles c. Hours.- 8 Sstems of Linear Equations A Sstem of Linear Equations is a set of two or more equations. The solution to a sstem is an and value that satisfies all the equations in the sstem. Graphicall the solution of a Sstem of Linear Equations is the point where the lines intersect. Tpes of sstems of equations:. Consistent sstems have at least one solution (intersection point). The have:. Independent lines: Unique lines with different equations that will have onl one solution. OR. Dependent lines: This sstem will have infinitel man solutions because the equations and graphs are the same, intersecting itself everwhere.. Inconsistent sstems have no solution and occur when the graphs do not intersect parallel lines. Solve the following sstem b graphing the equations b hand. 0.-

6 //0 Your compan wants to print some flers for advertising a new product. The printer has two options to produce the flers. The traditional printing cost $0 for setup and $0. per page printed. To print the flers digitall the charge $0 for setup and $0.0 per page printed. a. Write equations for the cost to print n flers using these two printing options. Your compan wants to print some flers for advertising a new product. The printer has two options to produce the flers. The traditional printing cost $0 for setup and $0. per page printed. To print the flers digitall the charge $0 for setup and $0.0 per page printed. b. Graph the two equations on the same calculator window..-.- Your compan wants to print some flers for advertising a new product. The printer has two options to produce the flers. The traditional printing cost $0 for setup and $0. per page printed. To print the flers digitall the charge $0 for setup and $0.0 per page printed. c. Find the number of flers that will result in the same cost for both printing methods. The percentage of renewable energ produced using geothermal and wind is given in the table. Source: US Statistical Abstract 009. Year Geothermal Wind a. Find a model (an equation) for the percent of renewable energ produced b using geothermal energ..-.-

7 //0 The percentage of renewable energ produced using geothermal and wind is given in the table. Source: US Statistical Abstract 009. Year Geothermal Wind b. Find a model (an equation) for the percent of renewable energ produced b using wind. The percentage of renewable energ produced using geothermal and wind is given in the table. Source: US Statistical Abstract 009. Year Geothermal Wind G( t) 0.08t.8 W ( t) 0.8t.0 c. Estimate the ear in which the percentages of geothermal and wind energ are the same..-.- Use the table on the calculator to numericall find the solution to the sstem. = + 0 = +