2. Multiplying and Factoring
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How can you isolate y?
Inequality: y≥ 72x -4
Graph:
Inequalities can be solved in the same way as equations: by performing inverse operations on both sides until the variable is isolated. The only difference is that when you divide or multiply by a negative number, you must reverse the inequality sign.
LHS-7x≤RHS-7x
Multiply by - 1 and flip inequality sign
LHS* 1/2 ≥ RHS * 1/2
Distribute 1/2
This inequality tells us that all values greater than or equal to 72x-4 will satisfy the inequality. Below we demonstrate the inequality by graphing the solution. Notice that y can equal 72x-4, which we show with a solid line.