Question

Solve and graph each inequality -2y+7<1 or 4y+3<-5​

Answer 1

Answer:

y < -2 or y > 3

Step-by-step explanation:

$(1)\\\\-2y+7$

$-\text{op}\text{en circle}\\\leq,\ \geq-\text{closed circle}$

Answer 2

Answer:

• 3 < y
• y < -2

Step-by-step explanation:

1. -2y+7 < 1

Add 2y-1:

  6 < 2y

Divide by 2:

  3 < y

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2. 4y +3 < -5

Subtract 3:

  4y < -8

Divide by 4:

  y < -2

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These are graphed on the number line with open circles because y=-2 and y=3 are not part of the solution set.