Lesson Topics Discussion Quiz: Class Homework |
Example1 |
Title: Algebra |
Grade Lesson s5-p1 |
Explanation: The best way to understand PSAT-4 is by looking at some examples. Take turns and read each example for easy understanding. |
Examples
Topics → Definition Example1 Example2
Solve the inequality \$ 5x - 9y le 8x + 3y - 4 \$.
Step: 1 |
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To isolate the variables on one side, then move the y terms to the left side and the x terms to the right side: \$5x - 8x ≤ 3y + 9y - 4\$ Combine like terms: \$-3x ≤ 12y - 4 \$ |
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Explanation: |
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Split variables on each side, then group like terms together for simplification. |
Step: 2 |
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Now, let’s isolate the y terms by moving the x terms to the right side: \$-3x + 4 ≤ 12y\$ Divide both sides of the inequality by 12: \$ (-3/12)x + 4/12 ≤ y \$ Simplify: \$ (-1/4)x + 1/3 ≤ y \$ |
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Explanation: |
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Isolate y, simplify, then divide by 12 to yield \$ (-1/4)x + 1/3 ≤ y \$. |
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