Respuesta :

Answer:

[tex]t>\frac{-6}{5}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2} t + \frac{1}{3} t>-1[/tex]

[tex]\frac{1}{2} t*6 + \frac{1}{3} t*6>-1*6[/tex]

[tex]5t>-6[/tex]

[tex]\frac{5t}{5} > \frac{-6}{5}[/tex]

[tex]t>\frac{-6}{5}[/tex]

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:)