2(3x-1) >=4x-6
6x-2>=4x-6
6x-4x>= -6+2
2x>=-4
x>=-2
You can see after simplification, the valve of x can be any number greater than or equal to -2. i.e -5 and -3 can not be in the solution set. the first choice can be dismissed, the fact the variable O could be any number that may not satisfy the solution. Therefore 0-1 is the answer, any thing between 0 & 1 including 0 and one satisfy the solution set
Answer:
D. x = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Leg <em>a</em> = 8
Leg <em>b</em> = <em>x</em>
Hypotenuse <em>c</em> = 10
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 8² + x² = 10²
- Isolate <em>x</em> term: x² = 10² - 8²
- Exponents: x² = 100 - 64
- Subtract: x² = 36
- Isolate <em>x</em>: x = 6
Answer: -2
Step-by-step explanation:
3x+2y=16
x+y=4 multiply by -2
-2x-2y=-8
3x+2y=16 ------a
-2x-2y=-8 -------b
Add equation a and b
(3x+-2x)+(2y+-2y) = 16+(-8)
x+0=8 (y has been eliminated)
