Question

I need help on 1 and 2 20 points

Answer 1

Question 1: A. 2

Question 2: C.
`x>90`

Explanation:

Question 1:

Amount to be spend = $625

Cost to rent the ball room for 3 hrs = $350

Cost of each additional hour = $125

Ms Jensen wrote the Inequality as,

`625>350+125h`

h⇒ Number of additional hours.

We need to find the value of 'h'.

Solution:

`625>350+125h`

Now Subtracting both side by 350 using subtraction property of Inequality we get;

`625-350>350+125h-350\\\\275>125h`

Dividing both side by 125 using Division property of Inequality we get;

`(275)/(125)>(125h)/(125)\\\\2.2>h`

Hence The value of 'h =2' make the Inequality true.

Question 1:

Given:

`20+2<(x)/(3)-8`

We need to find the solution for Inequality.

Solution:

First we will add the like terms we get;

`22<(x)/(3)-8`

Now Adding both side by 8 using addition property of Inequality we get;

`22+8<(x)/(3)-8+8\\\\30<(x)/(3)`

Now multiplying both side by 3 Using multiplication property of Inequality we get;

`30*3<(x)/(3)* 3\\\\90<x`

Hence The solution to given Inequality is
`x>90`.