Monday

December 22, 2014

December 22, 2014

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

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 8:30amI will be happy to critique your work.

- algebra -
**Reiny**, Monday, January 4, 2010 at 8:34amI 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

**Answer this Question**

**Related Questions**

Math - Find an equation of the line that bisects the obtuse angles formed by the...

maths - I will be thankfull to you if you help me to solve the below problem: 6...

Algebra - How would i complete these problems? 1. (√6mn)^5 2. ^3√16x...

algebra 1 - alright i have a few questions if its ok..? Simplify: 1. -2√(...

Algebra - Simplify the expressions and solve the equations 1. 2√3 - √...

Algebra Work Check - 1. 5√6 * 1/6√216 5/6 * √1296 5/6 * √...

Algebra 2 Answer Check - Simplify by rationalizing each denominator. 1. 2/√...

Algebra - How would i solve for this problems? also what is the answer(s) 5.)...

algebra 1 help - simplifying square roots 1) find volume of this prism? v=bwh b...

Precalculus - Determine the exact value of cos 465 degrees a) √3 + √...