Answer:
70%.
Step-by-step explanation:
Rearrange the inequality to isolate [tex]x[/tex]. Start by subtracting [tex]5[/tex] from both sides of the inequality:
[tex]2\,x + 5 - 5 > 1 - 5[/tex],
[tex]2\, x > -4[/tex].
Divide both sides by [tex]2[/tex]. (Keep in mind that if the multiplier or divisor is smaller than zero, it will flip the inequality sign.)
[tex]x > -2[/tex].
There are ten numbers in this set. Only seven of them will satisfy this inequality. Note that the "[tex]>[/tex]" symbol means strictly greater than (while "[tex]\ge[/tex]" means greater than or equal to.) As a result, [tex]x = -2[/tex] will not count as a solution.
Assume that the number is picked randomly.
[tex]\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}[/tex].
