Solve the inequality.Find the solution and the set-builder notation. -6y+9≤8-(y+14)  

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Solve and put solution into set builder notation: -6y+9 ≤8-(y+14) 1. Distribute the quantity in ( ) to get -6y+9 ≤8-y-14 2. Add +y to both sides to get -5y+9≤8-14 3. Collect constants on right hand side by adding -9 to both sides to get -5y≤ -15 4. Then divide both sides by -5, reverse the inequality to get y ≥ 3. 5. Check your answer by trying 0 and 4 for y. 6. On the real number line it would look like __________[3____________________________ +oo 7. In set builder notation it would look like {y | y ε Reals, y ≥ 3 }