Answer:
The graph and the number line in the attached figure
Step-by-step explanation:
we have

Solve for x
subtract 7 both sides


Divide by -2 both sides
Remember
When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so

The solution is the interval (-8,∞)
All real numbers greater than -8
In a number line the solution is the shaded area at right of x=-8 (open circle)
The graph and the number line in the attached figure
Answer:
The system of inequalities is


Step-by-step explanation:
step 1
Find the equation of the solid blue line
Let

Find the slope of AB

The equation of the line into slope intercept form is equal to

we have

----> the point A is the y-intercept
substitute
-----> equation of the solid blue line
The solution of the inequality is the shaded area above the solid line
therefore
The first inequality is

step 2
Find the equation of the dashed red line
Let

Find the slope of CD

The equation of the line into slope intercept form is equal to

we have

----> the point C is the y-intercept
substitute
-----> equation of the dashed red line
The solution of the inequality is the shaded area below the dashed line
therefore
The second inequality is

The system of inequalities is


Answer:
18 cups of dried split peas. 16 quarts of water. 6 cups of chopped onions. 8 cups chopped celery. 16 pounds ham shank.
Step-by-step explanation:
Since that is a recipe for 8 people and 8 is a factor of 32, we can multiply the ingredient amounts by 4 (4 x 8 is 32).
2 1/4 c x 8 = 18 c.
2 qt x 8 = 16 qt.
3/4 c x 8 = 6 c.
1 c x 8 = 8 c.
2 lb x 8 = 16 lb.
Well,
it says The quatient of x and seven is 5 more than three times x
The quotient = x/7
three times x = 3x
x/7 = 3x + 5 This is the answer