Answer:
<u>Using below system of inequalities</u>
<u>Following the rules </u>
- 1. Finding x- and y - intercepts
- 2. Connecting with dotted line for each as no equal symbol present in any inequality
- 3. Shade respective regions
- 4. Solution is the intersection of the shades regions
- 5. Select any three points in the solution region
<u>Line 1</u>
- y > 2x - 3
- x- intercept: y = 0 ⇒ 0 = 2x - 3 ⇒ 2x = 3 ⇒ x = 1.5
- y - intercept: x = 0 ⇒ y = -3
- Shaded region is above the line (or to the left)
<u>Line 2</u>
- y < x + 1
- x- intercept: y = 0 ⇒ 0 = x + 1 ⇒ x = -1
- y - intercept: x = 0 ⇒ y = 1
- Shaded region is below the line (or to the right)
<u>Selected points are:</u>
Answer:
Step-by-step explanation:
The question asks you to graph the inequality
<em>The steps of drawing the inequality are the same steps of drawing the equation except the area of the solution</em>
→ The solution of the equation is just all the points lie on the line
→ The solution of the inequality is one of these cases:
- All the points on the line and on the area down the line if the inequality y ≤ ......
- All the points on the line and on the area over the line if the inequality y ≥ .......
- All the points on the area down the line if the inequality y < ......
- All the points on the area over the line if the inequality y > .......
∵ The inequality is 4x - 3y ≤ 6
∴ The equation of the line is 4x - 3y = 6
Your drawing is right, BUT you must shade the area over the line because the solution of the inequality is all the points on the line and over the line
The coefficient of y is -3 which means we will divide the sides of the inequality by a negative number, so sign the inequality must e reversed
I attached the figure of the inequality to show you the explanation above.
The red shaded is the area of the solution of the inequality.
Answer:
down below
Step-by-step explanation:
k) 1 and 22/48
l)124/26
m)68/20
n)2 and 5/10
o)2 and 18/19
please give me brainliest!!!<3
You have the right concept for problem #1 but made an error.
x = -x + 2
2x = 2 (added "x" to both sides ---<em>this is where you made the error</em>)
x = 1 (divided both sides by 2)