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3 years ago

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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