Hi can someone solve the inequalities? 8y - 5 < 3

3p + 2 > -10

-2 > m/6 -7

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:)

1. y<1

2.p>-4

3.m<30

Step-by-step explanation:

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )

0,0

step-by-step explanation: