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Example1

Title: Linear inequalities in one or two variables

Grade Lesson s5-l4

Explanation: The best way to understand SAT-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

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 \$

Explanation:

Split variables on each side, then group like terms together for simplification.

Step: 2

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 \$

Explanation:

Isolate y, simplify, then divide by 12 to yield \$ (-1/4)x + 1/3 ≤ y \$.