Which number line represents the solution set for the inequality 2x- 6>6 (x-2)+8
2 answers:
Answer:
The inequality is
2 x - 6 > 6(x -2) +8
To solve the inequality we will first use distributive property with respect to multiplication over subtraction
And then bring constant on one side and variable on another side keeping the inequality maintained
2 x -6 > 6 x -12 + 8
2 x -6 > 6 x - 4
6 x - 2 x< -6+4
4 x < -2
Dividing both sides by 2
x <
Now i will draw the graph of above function.
You might be interested in
<h2>Answer:</h2>
First, we must determine the slope, then we find the y-intercept using slope formula and slope-intercept form.
<u>For slope:</u>
<u /><u />
Slope (m) = 7
<u>For y-intercept:</u>
<u /><u />
Y-intercept (b) = 26
Using this information, we can now create the equations for this line.
Formulas:
Slope formula: <em>y₂ - y₁/x₂ - x₁</em>
Slope-intercept form: <em>y = mx + b</em>
Point-slope form: <em>y - y₁ = m(x - x₁)</em>
<em></em>
*Note: (x₁, y₁), (x₂, y₂) = <em>2 points on the line</em>