Answered

IDNLearn.com makes it easy to find accurate answers to your specific questions. Our experts are available to provide accurate, comprehensive answers to help you make informed decisions about any topic or issue you encounter.

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]

We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Find clear answers at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.