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1/2t+1/3t+>-1 solve each inequality. (fractions)

User Onur Bebin
by
3.8k points

2 Answers

5 votes

Answer:


t>(-6)/(5)

Explanation:


(1)/(2) t + (1)/(3) t>-1


(1)/(2) t*6 + (1)/(3) t*6>-1*6


5t>-6


(5t)/(5) > (-6)/(5)


t>(-6)/(5)

User Stiivi
by
4.6k points
4 votes

Hey there!

1/2t + 1/3t > -1


COMBINE the LIKE TERMS

5/6t > -1


MULTIPLY 6/5 to BOTH SIDES

6/5 * 5/6t > 6/5 * -1

CANCEL out: 6/5 * 5/6 because it give you 1

KEEP: 6/5 * -1 because it help solve for the t-value


NEW EQUATION:

t > 6/5 * -1


SIMPLIFY IT!

t > -6/5

t > -1 1/5


It is an OPEN circle shaded to the RIGHT


Therefore, your answer is: t > -6/5


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

User David Reynolds
by
4.3k points