Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

solve[tex]3 - \frac{x}{2} \geqslant 15[/tex]the equation

Sagot :

GIVEN:

We are given the following inequality;

[tex]3-\frac{x}{2}\ge15[/tex]

Required;

To solve the inequality for x.

Step-by-step solution;

We begin by collecting like terms. Subtract 3 from both sides;

[tex]\begin{gathered} 3-3-\frac{x}{2}\ge15-3 \\ \\ -\frac{x}{2}\ge12 \end{gathered}[/tex]

Now we cross multiply;

[tex]-x\ge24[/tex]

We now multiply both sides of the inequality by -1.

Note that when an inequality is multiplied or divided by a negative value, then the inequality sign flips over.

Therefore;

[tex]\begin{gathered} -x\ge24 \\ \\ -x(-1)\ge24(-1) \\ \\ x\leq-24 \end{gathered}[/tex]

ANSWER:

[tex]x\leq-24[/tex]

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.