Question

INEQUALITIES ARE THE DEATH OF ME

Answer 1

When the inequality is "...or equal to", the circle must be closed because it will include that value.  Based on this, we can eliminate the first and third choices.  

Now, you must solve the inequality like any other equation.

$-2r+3\geq 19$

*Subtract 3 from both sides*

$-2r\geq 16$

*Divide both sides by -2* (BE CAREFUL: When dividing by a negative in an inequality, you must flip the sign)

$r\leq -8$

The arrow must go to the left since it is "less than..."

The fourth choice is the correct answer.

Hope this helps!!

Answer 2

Answer:

Graph 4.

Step-by-step explanation:

-2r + 3 ≥ 19

subtract 3 from both sides

-2r ≥ 16

divide both sides by -2:-

2 ≤ =8   )NOTE the inequality flips when we divide by a negative)

The last graph is the correct one