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A17 6 ineqsystems

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A17 6 ineqsystems

1. 1. Systems of Linear Inequalities Algebra 1
2. 2. Bellringer <ul><li>What is the difference between a linear equation and an inequality ? </li></ul><ul><li>What does the solution of an inequality look like? </li></ul><ul><li>What do you think a system of inequalities is? </li></ul>
3. 3. Inequality Systems <ul><li>Solve both inequalities for y . </li></ul>
4. 4. Inequality Systems <ul><li>Solve both inequalities for y . </li></ul><ul><ul><li>Identify the slope and y -intercept for each inequality. </li></ul></ul>
5. 5. Inequality Systems <ul><li>Solve both inequalities for y . </li></ul><ul><ul><li>Identify the slope and y -intercept for each inequality. </li></ul></ul><ul><li>Graph the first boundary line. </li></ul>
6. 6. Inequality Systems <ul><li>Solve both inequalities for y . </li></ul><ul><ul><li>Identify the slope and y -intercept for each inequality. </li></ul></ul><ul><li>Graph the first boundary line. </li></ul><ul><ul><li>Shade the region described by the inequality. </li></ul></ul>
7. 7. Inequality Systems <ul><li>Solve both inequalities for y . </li></ul><ul><ul><li>Identify the slope and y -intercept for each inequality. </li></ul></ul><ul><li>Graph the first boundary line. </li></ul><ul><ul><li>Shade the region described by the inequality. </li></ul></ul><ul><li>Graph and shade the second inequality. </li></ul>
8. 8. Inequality Systems <ul><li>The solution is the area shaded by both inequalities . </li></ul>