Chapter A.9, Problem 19AYU

To determine

To write: The inequality obtained by:

a. Adding 3 to each side of the given inequality.

b. Subtracting 5 from each side of the given inequality.

c. Multiplying each side of the given inequality by 3.

d. Multiplying each side of the given inequality by $-2$.

Answer to Problem 19AYU

a. $7 > 0$

b. $-1 > -8$

c. $12 > -9$

d. $-8 < 6$

Explanation of Solution

Given:

$4 > -3$

Calculation:

a. Adding 3 to each side of the given inequality. $4 + 3 > -3 + 3 \Rightarrow 7 > 0$

b. Subtracting 5 from each side of the given inequality. $4 - 5 > -3 - 5 \Rightarrow -1 > -8$

c. Multiplying each side of the given inequality by 3. $4 \cdot 3 > -3 \cdot 3 \Rightarrow 12 > -9$

d. Multiplying each side of the given inequality by $-2$. $4 \cdot \left(-2\right) > \left(-3\right) \cdot \left(-2\right) \Rightarrow -8 < 6$