Question

5. What is the probability that a number picked from the set {-4,-3,-2,-1,0,1,2,3,4,5) will be a

Answer 1

Answer:

70%.

Step-by-step explanation:

Rearrange the inequality to isolate $x$. Start by subtracting $5$ from both sides of the inequality:

$2\,x + 5 - 5 > 1 - 5$,

$2\, x > -4$.

Divide both sides by $2$. (Keep in mind that if the multiplier or divisor is smaller than zero, it will flip the inequality sign.)

$x > -2$.

There are ten numbers in this set. Only seven of them will satisfy this inequality. Note that the "$>$" symbol means strictly greater than (while "$\ge$" means greater than or equal to.) As a result, $x = -2$ will not count as a solution.

Assume that the number is picked randomly.

$\begin{aligned}&\text{Probability of Success} \cr = & \dfrac{\text{Number of Choices that lead to Success}}{\text{Number of all Choices}} \cr =& \dfrac{7}{10} \cr = &0.7 \cr =& 70\% \end{aligned}$.