Question

1.5.21
Given 4 > -3,writetheinequality obtained by(a) Adding 3 to each side of the given inequality
(b) Subtracting 2 from each side of the given inequality
(c) Multiplying each side of the given inequality by 2.
(d) Multiplying each side of the given inequality by - 3.
(a) Add 3 to each side of the given inequality.
(Type an inequality.)

Answer 1

Answer:

Inequalities in the explanation

Step-by-step explanation:

Inequalities

Is a relation that makes a non-equal comparison between two mathematical expressions using comparators as >, <, ≤, and ≥, among others.

Some usual operations performed in equations cannot be done in the same way in inequalities, especially multiplying or dividing by negative numbers. When we need to multiply or divide by a negative number, the inequality sign must be flipped.

Let's start off with the inequality

4>-3

a) Add 3 to each side:

4+3>-3+3

7>0

b) Subtract 2 from each side:

4-2>-3-2

2>-5

c) Multiply each side by 2:

2*(4)>2*(-3)

8>-6

d) Multiply each side by -3. We must flip the sign:

-3(4)<(-3)(-3)

-12<9