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SYSTEMS-OF-LINEAR-INEQUALITIES-IN-TWO-VARIABLES.pptx
- 1. SYSTEMS OF LINEAR INEQUALITIESIN TWO VARIABLES
- 2.
- 3. LEARNING TARGETS 1. solvea system of linear inequalities in two variables by graphing; and
- 4. LEARNING TARGETS 1. solvea system of linear inequalities in two variables by graphing; and 2. solve problems involving system of linear inequalities in two variables.
- 5. Solve the Systemof Linear Equation
- 6. Solve the Systemof Linear Equation 𝑦 ≤ 4𝑥 − 4 5𝑥 − 3𝑦 < 15
- 7. Solve the Systemof Linear Equation 𝑦 ≤ 4𝑥 − 4 5𝑥 − 3𝑦 < 15 Solution: Solve for x and y intercept of each inequalities 𝒚 ≤ 𝟒𝒙 − 𝟒 → 𝑦 = 4𝑥 − 4 𝑥 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 0 = 4𝑥 − 4 −4𝑥 = −4 𝑥 = 1 𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 𝑦 = 4 0 − 4 𝑦 = 4
- 8. Solve the Systemof Linear Equation 𝑦 ≤ 4𝑥 − 4 5𝑥 − 3𝑦 < 15 Solution: Solve for x and y intercept of each inequalities 5𝑥 − 3𝑦 < 15 → 5𝑥 − 3𝑦 = 15 𝑥 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 5𝑥 − 3 0 = 15 5𝑥 = 15 𝑥 = 3 𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 5 0 − 3𝑦 = 15 −3𝑦 = 15 𝑦 = −3
- 9. Solve the Systemof Linear Equation 𝑦 ≤ 4𝑥 −4 5𝑥 − 3𝑦 < 15
- 10. Solve the Systemof Linear Equation 𝑦 ≤ 4𝑥 −4 5𝑥 − 3𝑦 < 15
- 11. Solve the Systemof Linear Equation 𝑦 ≤ 4𝑥 − 4 5𝑥 − 3𝑦 < 15
- 12. Solve the Systemof Linear Equation 3𝑥 + 4𝑦 > 12 𝑥 ≥ 6𝑦 + 2
- 13. Solve the Systemof Linear Equation 3𝑥 + 4𝑦 > 12 𝑥 ≥ 6𝑦 + 2 Solution: Solve for x and y intercept of each inequalities 3𝑥 + 4𝑦 > 12 → 3𝑥 + 4𝑦 = 12 𝑥 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 3𝑥 + 4y = 4 3𝑥 = 12 𝑥 = 4 𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 3 0 + 4𝑦 = 12 4𝑦 = 12 𝑦 = 3
- 14. Solve the Systemof Linear Equation 3𝑥 + 4𝑦 > 12 𝑥 ≥ 6𝑦 + 2 Solution: Solve for x and y intercept of each inequalities 𝑥 ≥ 6𝑦 + 2 → 𝑥 = 6𝑦 + 2 𝑥 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 𝑥 = 6 0 + 2 𝑥 = 2 𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 0 = 6𝑦 + 2 −6𝑦 = 2 𝑦 = −1/3
- 15. Solve the Systemof Linear Equation 3𝑥 + 4𝑦 > 12 𝑥 ≥ 6𝑦 + 2
- 16. Solve the Systemof Linear Equation 3𝑥 + 4𝑦 > 12 𝑥 ≥ 6𝑦 + 2
- 17. Solve the Systemof Linear Equation 3𝑥 + 4𝑦 > 12 𝑥 ≥ 6𝑦 + 2