Enter an inequality that represents the phrase "the sum of 4 and y is less than 6." Draw a graph that represents the inequality.
Please help AND give a good explanation. Like I am finding this super hard and well I can NOT get this question wrong unless I want a C on this. Help :(

Respuesta :

9514 1404 393

Answer:

  4 + y < 6

  see attached for a graph

Step-by-step explanation:

The English description "the sum of A and B" is written symbolically as ...

  A + B

The symbol for "is less than" is <.

Then "the sum of 4 and y is less than 6" will be written ...

  4 + y < 6

__

The solution to this is found by subtracting 4 from both sides of the inequality:

  4 +y -4 < 6 -4

  y < 2 . . . . . . . . . simplified solution

The graph of this is a number line with an open circle at y=2, and shading to the left of that point, where values on the number line are less than 2.

Ver imagen sqdancefan