Linear Inequality Word Problems

Solving systems by elimination.

What are our three steps to solving any system by elimination?

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​ 1.

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Solving systems by elimination.

What do we do if we do not have like coefficients on one of our variables?​

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Solve the system

​8x-5y=17

9x+5y=51​

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Solve the system

​9x-2y=-2

5x+7y=-66​

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As a reminder here is how we graph a linear inequality.

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Step 1:​ Determine if your line is dotted (< and >) or solid (< and >)

Step 2: Graph the line as you would if it wasn't ​an inequality.

Step 3: Test a point not on the line to determine what region includes all of the points that satisfy the inequality.​

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Example:​

Graph the following inequality:

y>3x+2​

Example:​

Graph the following inequality:

8x-4y<24​

Linear Inequality Key Words​

Word Problems Key Words​

Linear Inequality Key Words​

Suppose your class is raising money for the Red Cross. You make $4 on each box of fruit and $5 on each package of cheese. How many of each type must you sell if you want to raise more than $100.

Linear Inequality Key Words​

Suppose you want to spend no more than $60 on books. How many of each type can you buy if harcovers cost $12 and paperback costs $5?​