The graph of [tex]x+5\geq1[/tex] and [tex]x-7\leq-3[/tex] is given by (D) Solution, [tex]\mathbf{x\geq-4\text{ and }x\leq4}[/tex].
What is Graph?
The graph is a pictorial representation of a mathematical function or relation.
What is Inequality?
Inequality is a mathematical relation between variable and number or mathematical quantities using inequal signs (greater than, less than, greater than or equal, less than or equal) between them.
Given the inequality are [tex]x+5\geq1[/tex] and [tex]x-7\leq-3[/tex].
Solving the inequality we get,
[tex]x+5\geq1\\x+5-5\geq1-5\\x\geq-4[/tex]
and
[tex]x-7\leq-3\\x-7+7\leq-3+7\\x\leq4[/tex]
So the solution is [tex]x\geq-4,x\leq4[/tex].
Hence the correct option for solution and graph is (D).
Learn more about Inequality here -
https://brainly.com/question/11613554
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