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Solve the compound inequality for x and identify the graph of its solution.
x+ 5 = 1 and x-7< - 3
Help ASAP please

Solve The Compound Inequality For X And Identify The Graph Of Its Solution X 5 1 And X7lt 3 Help ASAP Please class=

Sagot :

Answer:

Option C

Step-by-step explanation:

Yw!

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 -

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