# Equations and inequalities

I am having trouble with the attached equations. Can you assist and show me how to check the solution?

Solve the following equations:

1. A = (1/2)bh solve for h

2. m = (x + y + z) / 3 solve for y

Determine if -4 satisfies the following compound inequality

3. 2x < -8 AND 5x < 0

Solve the following problems

A. Sue wants to host a catered dinner for her friends. If the caterer charges a set up fee of $40 and $15 per person, what is the maximum number of people , including Sue, can attend the dinner and keep the cost at $150 or less.

Solve the following equations:

1. -14(3 - 2x) = 7x + 3(7x + 12)

2. 2z - 5(4 - z) = 3(2z - 6) + z - 2

3. A = (1/2)bh solve for h

4. m = (x + y + z) / 3 solve for y

Solve the following inequalities:

5. 6(x + 3) - 6 < 6

6. -2x - 6 > 0

Determine if -4 satisfies the following compound inequality

7. 2x < -8 AND 5x < 0.

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This solution provides examples of solving and checking equations and inequalities.