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3 years ago

The difference of a number and -6 is less than 9 write an inequality and solve

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

8 0

Answer:

n - (-6) < 9

n < 3

Step-by-step explanation:

When setting up an inequality, using the key words from the problem will help. The word 'difference' would indicate subtraction and 'less than' would be the '<' inequality sign. Since the expression is 'the difference of a number and -6', we write:

n - (-6) < 9

Whenever we subtract a negative number, we change both signs to positive:

n + 6 < 9

Using inverse operations to solve: n + 6 - 6 < 9 - 6

n < 3

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Solution:

Given inequality is:

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To solve the inequality, subtract 8 on both sides,

We know that,

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Also, by Subtraction Property of Inequality,

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