Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

PLEASE HELP WITH THIS PROBLEM!! Solve for the inequality-x/2 ≥ -2 or -3x < -15. Which of the options pictured shows the solutions on a number line?

PLEASE HELP WITH THIS PROBLEM Solve For The Inequalityx2 2 Or 3x Lt 15 Which Of The Options Pictured Shows The Solutions On A Number Line class=

Sagot :

Answer: C

Step-by-step explanation:

   We are asked to find the solution to the compound inequality pictured on a number line. To do this, we will first solve each inequality for x.

       [tex]\displaystyle -\frac{x}{2} \geq -2[/tex]

       [tex]\displaystyle -3x < -15[/tex]

   Multiply both sides of the first by -2 and flip the sign, divide both sides of the second by -3 and flip the sign.

       [tex]\displaystyle x \leq 4[/tex]

       [tex]\displaystyle x > 5[/tex]

   Now, we can graph these two inequalities. One will be a filled-in circle to the left of 4, and one will be an open circle to the right of 5. This is shown by option C.