Answer:
y > -4 + x
***(see graph below)****
Step-by-step explanation:
Graph
x − y < 4
Solve for y
Subtract x from both sides of the inequality.
−y < 4 − x
Multiply each term in −y < 4 − x by −1
Multiply each term in −y < 4 − x by −1. When multiplying or dividing both sides of an
inequality by a negative value, f lip the direction of the inequality sign.
(−y) ⋅ −1 > 4 ⋅ −1 + (−x) ⋅ −1
Multiply (−y) ⋅ −1.
Multiply −1 by −1.
1y > 4 ⋅ −1 + (−x) ⋅ −1
Multiply y by 1.
y > 4 ⋅ −1 + (−x) ⋅ −1
Simplify each term.
Multiply 4 by −1.
y > −4 + (−x) ⋅ −1
Multiply (−x) ⋅ −1.
y > −4 + x
Find the slope and the y-intercept for the boundary line.
Rewrite in s lope-intercept form.
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
y = mx + b
Reorder −4 and x. y > x − 4
Use the slope-intercept form to find the slope and y-intercept.
Find the values of m and b using the form y = mx + b. m = 1
b = −4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 1
intercept: (0, −4)
Graph a dashed line, then shade the area above the boundary line since y is greater than −4 + x. y > −4 + x
Answer:
x > 4
Step-by-step explanation:
Calling x the number of days Rita needs to bake the total amount of cakes, then inequality is x*8 > 32. Because she has orders for more than 32 cakes and can make 8 cakes per day. Dividing by 8 every side of the inequality gives: x > 4. Graph of the solution is attached (notice that 4 is not included).
