The graph of y ≤ -2x + 4 is shown. which set contains only points that satisfy the inequality? a) {(0, 0), (1, 2), (3, -3)} b) {(0, 0), (1, 2), (7, -2)} c) {(3, 3), (1, 2), (3, -3)} d) {(0, 0), (2, 1), (3, -3)}

To find out if a set satisfies the inequality, you can either plug in the points into the equation, or you can plug in the points into the graph.

Any point in the shaded area and on the line satisfy the inequality. If the inequality had a sign of < or >, then the point can not be on the line, only in the shaded area.

A.) This is a solution because they are all in the shaded area

B.) This is not a solution because (7,-2) is outside the shaded area

C.) This is not a solution because (3,3) is outside the shaded area

D.) This is not a solution because (2,1) is outside the shaded area

A) {(0, 0), (1, 2), (3, -3)}  

Step-by-step explanation:

Check by inserting values into the inequality.

y ≤ -2x + 4

Set A

(0,0): 0≤ 4 TRUE

(1,2): 2 ≤ -2×1 + 4

       2 ≤ -2 + 4

       2 ≤ 2 TRUE

(3,-3): -3 ≤ -2×3+4

         -3 ≤ -6 + 4

         -3 ≤ -2 TRUE

Set B

(7, -2): -2 ≤ -2×7 + 4

          -2 ≤ -14 + 4

          -2 ≤ -10 FALSE

Set C

(3,3): 3 ≤ -2×3 + 4

        3 ≤ -6 + 4

        3 ≤ -2 FALSE

Set D

(2,1): 1 ≤ -2×2 + 4

       1 ≤ -4 +4

       1 ≤ 0 FALSE

Set A is the one that contains only points that satisfy the inequality.

answer: there are 453.592 grams in a pound.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950