College

Define a variable, write an inequality, and solve:

Let [tex]x[/tex] represent the number.

Write the inequality:
[tex]x - 7 \geq 15[/tex]

Solve the inequality:
Add 7 to both sides:
[tex]x \geq 22[/tex]

Answer :

Inequality: [tex]x-7\ge 15[/tex]

Solution: [tex]x\ge 22[/tex]

Inequality is a mathematical statement which depicts the relation between two or more mathematical variable or quantities which involves in relation which is not equal or inequal.

Given the statement is "A number decreased by 7 is at least 15"

Let the number be the variable x.

Now decreased by 7 = x-7

Suitable inequality sign for at least statement is [tex]\ge[/tex]

So the required inequality is given by,

[tex]x-7\ge15[/tex]

Solving the same we get,

[tex]x-7+7\ge 15+7[/tex]

[tex]x\ge 22[/tex]

Thus the number is [tex]x\ge 22[/tex]

To more about inequality refer to:

https://brainly.com/question/24372553

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