How do I find the solution step-by-step for this problem: \(-4y + 6 > 22\)?

Well to isolate the variable you should subtract 6 from both sides resulting in -4y > 16 Now just divide by -4, however, keep in mind that when you divide or multiply by a negative number when there is a sign, always switch the sign , so just divide by -4 and get y < 4

Answered by MathG33k | 2024-06-10

22\ \ \ \ /-6\\\\-4y+6-6 > 22-6\\\\-4y < 16\ \ \ \ /:(-4) < 0\\\\y < 16:(-4)\\\\y < -4\\\\\\y\in(-\infty;-4)"> − 4 y + 6 > 22 / − 6 − 4 y + 6 − 6 > 22 − 6 − 4 y < 16 / : ( − 4 ) < 0 y < 16 : ( − 4 ) y < − 4 y ∈ ( − ∞ ; − 4 )

Answered by Anonymous | 2024-06-10

To solve the inequality 22"> − 4 y + 6 > 22 , first subtract 6 from both sides to get 16"> − 4 y > 16 . Then, divide both sides by -4, remembering to flip the inequality sign, resulting in y < − 4 .
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Answered by MathG33k | 2024-12-20