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yawa3891 [41]
3 years ago
12

Solve the inequality -2z - 3 < 5

Mathematics
2 answers:
nlexa [21]3 years ago
5 0

answer:

z > - 4

step-by-step explanation:

  • first take out the inequality sign, and use an equal sign
  • this makes it easier to solve
  • it is not required to do it, but helps a lot

-2z - 3 < 5

- - > -2z - 3 = 5

  • now solve this like an equation

-2z - 3 = 5

-2z = 8

z = -4

  • now note that if we divide by a negative number in inequality, the sign FLIPS
  • in this case, this happened when we divided by -2
  • so, we would have to flip the sign
  • before we do that, let's bring the equation back to an inequality

z = -4

- - > z < -4

  • keep everything the way it was
  • now, FLIP the sign

z > - 4

allochka39001 [22]3 years ago
3 0

Answer:

z > -4

Step-by-step explanation:

-2z< 5+3

-2z < 8

z > 8/2

z > -4

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See attachment for the figure.

<u>For D'</u>, rotating the point (2, 2) 90° counterclockwise. This maps each point (x, y)→(-y, x); it takes (2, 2)→(-2, 2).  

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12(t + 2) + 4 ≥ - 8

12t + 24 + 4 ≥ - 8

12t + 28       ≥ - 8

12t               ≥ - 8 - 28

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