Option D shows the solid dot along with [tex]x\leq 7[/tex] so our answer is
Option D.
The given inequality is 2x + 1 [tex]\leq[/tex] 15.
We have to see which of the given option shows the solution and graph to this inequality.
What are a solid dot and an open dot?
A solid dot indicated on a number line graph shows that the given number is also a possible solution, whereas an open dot indicates that the given number cannot be a solution.
We see that in the given inequality, 2x + 1 must be less than or equal to 15.
And the maximum value we can take is 7 because,
2(7) + 1
14 + 1
15
So we can take 7 and any values less than 7 i.e [tex]x\leq 7[/tex] to satisfy the inequality 2x + 1 [tex]\leq[/tex] 15.
We see that Option D gives us [tex]x\leq 7[/tex] along with the solid dot.
Hence Option D is our answer.
Learn more about inequality problems here:
https://brainly.com/question/17675534
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