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Зу + 4 < 14 Solve the inequalities

User Newcoma
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1 Answer

2 votes


\huge\text{Hey there!}


\large\text{Solve the inequalities: } \mathsf{3y + 4 < 14}


\mathsf{3y + 4 < 14}


\large\text{SUBTRACT 4 to BOTH SIDES}


\mathsf{3y + 4 -4< 14-4}


\large\text{CANCEL out: }\mathsf{4 - 4}\large\text{ because it gives you 0}


\large\text{Keep: }\mathsf{14 - 4}\large\text{ because it gives you 10 (which helps you solve for y)}


\large\text{New equation: }\mathsf{3y < 10}


\large\text{DIVIDE 3 to BOTH SIDES}


\mathsf{(3y)/(3)<(10)/(3)}


\large\text{Cancel out: }\mathsf{(3)/(3)}\large\text{ because it gives you 1}


\large\text{Keep: }\mathsf{(10)/(3)}\large\text{ because it helps solve for y....or compare to y}


\boxed{\boxed{\huge\text{Answer: }\mathsf{\bf y<(10)/(3)}}}\huge\checkmark


\text{Good luck on your assignment and enjoy your day!}

~
\frak{Amphitrite1040:)}

User Guy Cothal
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5.8k points