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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=


Answer :

Heather

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.