Posted by **irina** on Monday, January 4, 2010 at 3:16am.

1. √(x + 6) = -8

x=?

2. 4√(2x - 3) < 12

solve the inequality

3. 4 ≥ √(6x - 12) - 8

solve the inequality

4. √(3x - 5) = x - 3

x=?

5. √(4 - x) ≥ √(3x + 4)

solve the inequality

6. x + 3 = √(5x + 4) + 1

x=?

- algebra -
**bobpursley**, Monday, January 4, 2010 at 8:30am
I will be happy to critique your work.

- algebra -
**Reiny**, Monday, January 4, 2010 at 8:34am
I will do #2 and #4, you can try the rest by following the same method.

#2.

4√(2x - 3) < 12

√(2x - 3) < 3 , now square both sides

2x - 3 < 9

2x < 12

x < 6

since we squared, we have to check our answer.

try x=2

LS = 4√(2(2)- 3) = 4

RS = 12

Is 4 < 12 ? Yes!

so x < 6

#4

√(3x - 5) = x - 3

square both sides

3x-5 = x^2 - 6x + 9

x^2 - 9x + 12 = 0

(x-7)(x-2) = 0

x = 7 or x = 2

checking:

if x=7

LS = √(21-5) = 4

RS = 7-3 = 4 , YES

if x=2

LS = √(4-1) = 1

RS = 2-3 = -1 , NO

so x = 7

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