Question

You are given that z>2. Write an inequality for each expression
a) 2z + 9
b) 3 (z-4)
c) 4+2z
d) 5 (3z - 2)
Kindly do the working as well

Answer 1

Answer:

SORRY, BUT I DO'NT KNOW

I WILL TRY MY BEST

Step-by-step explanation:

Answer 2

Answer:

a) 2z + 9 > 13
b) 3z-12 > -6
c) 4+2z > 8
d) 15z - 10 > 20

Step-by-step explanation:

Remember: you can solve inequalities just like you solve normal linear equations. Start every problem with the given inequality (in our case, z > 2). Then manipulate the left hand side to your liking, and apply the same calculations to the right hand side as well. Add calculations to the left hand side until you reach the given expression. I will show you the step-by-step solution for number b):

start with given inequality:

z > 2

start adding calculations to the left hand side and add the same calculations to the right, just like you would in a linear equation. let's begin with multiplying both sides by 3:

3z > 2*3 = 3z > 6

for the next step, let's add -12 to both sides (3*-4 = -12, when you multiply out the brackets in the expression):

3z - 12 > 6 - 12 = 3z - 12 > -6

now, turn the left hand side expression back to the original expression by factoring:

3(z-4) > -6

Hope this helps.