Question

1. For each problem, use the properties of inequalities to write a true inequality statement.
The two integers are -2 and -5.
a. Write a true inequality statement.
b. Subtract-2 from each side of the inequality. Write a true inequality statement.
c. Multiply each number by-3. Write a true inequality statement.​

Answer 1

Part a) The true inequality statement is: $-2>-5$

Part b) The true inequality statement is: $-4>-7$

Part c) The true inequality is $6<15$

Step-by-step explanation:

We are given the two integers are -2 and -5.

Part a)

Write a true inequality statement.

The true inequality statement is: $-2>-5$

Part b)

Subtract-2 from each side of the inequality. Write a true inequality statement.

Subtracting -2 from each side we get:

$-2>-5\\-2-2>-5-2\\-4>-7$

The true inequality statement is: $-4>-7$

Part c)

Multiply each number by-3. Write a true inequality statement.​

Multiplying -3 on both sides:

$-2>-5\\-2*-3>-5*-3\\Multiplying\,\,-3\,\,will\,\,change\,\,the\,\,inequality\,\,sign\\6<15$

The true inequality is $6<15$

Keywords: Solving inequalities

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