162127497
Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Hi can someone solve the inequalities?


8y - 5 < 3

3p + 2 > -10

-2 > m/6 -7

Sagot :

Amphitrite1040

Hey there!

[Question #1.]

8y - 5 < 3

ADD 5 to BOTH SIDES

8y - 5 + 5 < 3 + 5

CANCEL out: -5 + 5 because it gives you 0

KEEP: 3 + 5 because it help solve for the y-value

NEW EQUATION: 8y < 3 + 5

SIMPLIFY IT!

8y < 8

DIVIDE 8 to BOTH SIDES

8y/8 < 8/8

CANCEL out: 8/8 (on the LEFT side) because it gives you 1

KEEP: 8/8 (on the RIGHT side) because it helps you get the y-value

NEW EQUATION: y < 8/8

SIMPLIFY IT!

y < 1

Therefore, your answer is: y < 1 ; it is an OPEN circle shaded to the LEFT

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[Question #2.]

3p + 2 > -10

SUBTRACT 2 to BOTH SIDES

3p + 2 - 2 > -10 - 2

CANCEL out: 2 - 2 because it gives you 0

KEEP: -10 - 2 because it help solve for the p-value

NEW EQUATION: 3p > -10 - 2

SIMPLIFY IT!

3p > -12

DIVIDE 3 to BOTH SIDES

3p/3 > -12/3

CANCEL out: 3/3 because it gives you 1

KEEP: -12/3 because it helps solve for the p-value

NEW EQUATION: p > -12/3

SIMPLIFY IT!

p > -4

Therefore, your answer is: p > -4; it is an OPEN circle shaded to the RIGHT

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[Question #3.]

-2 > m/6 - 7

m/6 - 7 < -2

1/6m - 7 < -2

ADD 7 to BOTH SIDES

1/6m - 7 + 7 < -2 + 7

CANCEL out: -7 + 7 because it gives you 0

KEEP: -2 + 7 because it help solve for the m-value

NEW EQUATION: 1/6m < -2 + 7

SIMPLIFY IT!

1/6m < 5

MULTIPLY 6 to BOTH SIDES

1/6m * 6 < 6 * 5

CANCEL out: 1/6 * 6 because it gives you 1

KEEP: 6 * 5 because it help solve for the m-value

NEW EQUATION: m < 6 * 5

SIMPLIFY IT!

m < 30

Therefore, your answer is: m < 30

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.