Question

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

Answer 1

`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)`

Answer 2

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:)