In each case, would the boundary be a solid or dashed line? Tell whether the gra

Question

In each case, would the boundary be a solid or dashed line? Tell whether the graph of each inequality includes the boundary line. (a) y2 O includes the boundary, dashed O includes the boundary, solid O does not include the boundary, dashed O does not include the boundary, solid 12.-/3 pointsTGInterAIgH5 4.4.055 A sporting oods manufacturer allocates at least 1,200 units of time per day to make fishing rods and reels. It takes 6 units of time to make a rod and 15 un 6x + 15y > 1,200 15x+6y>1200 6x+15y z 1,200 1.200x + 15y

Explanation / Answer

Answer :

While drawing a linear graph ,

1) We use a dotted line to show that the inequality less than (<) or greater than ( > ) . This indicates that the line does not contain any solutions.

2) We use a solid line to show that the inequality is less than or equal to ( <= ) or greater than or equal to ( >= ).

a) Consider the inequality

y < 3x - 2

Does not include the boundary , dashed.

b) Consider the inequality

5x + 3y > = - 6

Include the boundary, solid.

C) consider the inequality

y < = 15

Includes the boundary, solid.

D) Consider the inequality

x > 2

Does not include the boundary, dashed.

12) Let x be the number of units of time devoted to make rods. And y be the number of units of time devoted to make reels.

Then the inequality that describes the possible combination is

6x + 15y > = 1,200

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