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algerbra 1a

by brit
(united states)











































can you please help me with my homework questions?
1.) 20<9x-7 2.)7-4x_>-17 3.)-53<_10x-3<47
_> this means greater than or equal to
<_ that means less than or equal to
thank you for your help(:

Comments for algerbra 1a

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Dec 02, 2010
Inequalities
by: Staff


The question:

by Brit
(United States)


can you please help me with my homework questions?

1.) 20<9x-7

2.) 7-4x_>-17

3.) -53<_10x-3<47

_> this means greater than or equal to
<_ that means less than or equal to
thank you for your help(:

The answer:

(To type ≥ hold down the alt key and enter 8805. Then release the alt key.
To type ≤ hold down the alt key and enter 8804. Then release the alt key.)


1.) 20 < 9x – 7

Solve this problem the same way you would solve for X if the < was an =.

20 < 9x – 7
20 + 7 < 9x – 7 + 7
27 < 9x
27/9 < 9x/9
3 < x
The final answer is: x > 3, x must be greater than 3


2.) 7 - 4x ≥ -17

Solve this problem the same way you would solve for X if the ≥ was an =.

7 - 4x ≥ -17
7 - 4x + 4x ≥ -17 + 4x
7 ≥ -17 + 4x
7 + 17 ≥ -17 + 17 + 4x
24 ≥ 4x
24/4 ≥ 4x/4
6 ≥ x

The final answer is: x ≤ 6, x must be less than or equal to 6




3.) -53 ≤ 10x -3 < 47

We are going to solve two inequalities at the same time.

-53 ≤ 10x -3 < 47
-53 + 3 ≤ 10x -3 + 3 < 47 + 3
-50 ≤ 10x + 0 < 50
-50 ≤ 10x < 50
-50/10 ≤ 10x/10 < 50/10
-5 ≤ x < 5

The final answer is-5 ≤ x < 5, , x must be greater than or equal to -5 AND less than +5



Thanks for writing.


Staff
www.solving-math-problems.com


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