B. Subtract both numbers to find the refund amount
The first inequality: y≤-x+6. the graph is a solid line that goes through (0,6) and (6,0) with the shaded area under the line. All the points are in the shaded area.
the second inequality: y>x+4, the graph is a dotted line going through (0,4) and (-4,0) with the shaded area above the line. Only D and E are in the shaded area.
so only D and E satisfy both inequality.
To verify if D and E are solutions, plug the coordinates of D (-4,2) and E (-1,5) in the inequality to see if they will make both inequalities true.
is 2 smaller or equal to -(-4)+6? yes, 2 is smaller than 10
is 2 larger than (-4)+4? yes, 2 is larger than 0.
Do the same with coordinates of E.
Part C: graph the inequality. the dotted line goes through (0,-4), (1,-1), and the shaded part is above (to the left of) the line. You'll see that A, D, E, F are in the shaded area, suitable for raising chicken.
Answer:
a<0.4
Step-by-step explanation:
The given inequality is
10(a+0.50)<9.00
We expand the parenthesis to get:
10*a+10*0.50<9.00
Multiply to get:
10a+5<9.00
Subtract 5 from both sides to get:
10a<9.00-5
This implies that:
10a<4
Divide both sides by 10
a<4/10
a<0.4