Question

in Glade Which values from the set {-6, -4, -3, -1, 0, 2) satisfy this inequality? 1 --x + 3 5 2

Answer 1

SOLUTION

We have to solve the inequality equation to get the answer

$\begin{gathered} -\frac{1}{2}x\text{ + 3 }\ge\text{ 5} \\ \\ -\frac{1}{2}x\text{ }\ge\text{ 5 - 3} \\ \\ -\frac{1}{2}x\text{ }\ge\text{ 2} \\ \text{dividing both sides by }-\frac{1}{2} \\ \\ x\text{ }\leq\text{ }\frac{2}{-\frac{1}{2}} \\ \\ x\text{ }\leq2\text{ }\times\text{ -}\frac{2}{1} \\ x\text{ }\leq\text{ -4} \end{gathered}$

The solution says that x is less than or equal to -4, therefore x will contain all values less than -4 and also contain -4. These values are -6 and -4 only.

Therefore, the correct answer is the last option, -6 and -4 only

Note also that when you divide both sides by a negative value, the inequality sign reverses.