Question

Solve the inequality -2z - 3 < 5

Answer 1

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

Answer 2

Answer:

z > -4

Step-by-step explanation:

-2z< 5+3

-2z < 8

z > 8/2

z > -4