Question

Determine the set of inequality solution

A. 2x+1 < 7

B. X-5 >4

c. 2x+3 <5

d. 2x-3 x >2

Answer 1

A. x < 3

B. X > 9

c. x < 1

d. x < -2

Explanation:

For A. 2x+1 < 7

First, subtract 1 from both sides

Then, we will get

2x+1 -1 < 7 - 1

2x < 6

Now, divide both sides by 2

2x / 2 < 6/2

x < 3

For B. X-5 >4

Add 5 to both sides,

Then, we will get

X -5 +5 > 4 + 5

X > 9

For c. 2x+3 <5

Subtract 3 from both sides

2x +3 -3 < 5 - 3

2x < 2

Divide both sides by 2

2x / 2 < 2/2

x < 1

For d. 2x-3 x >2

First, evaluate 2x -3x

2x -3x = -x

Then, 2x-3 x >2 becomes

-x > 2

Now, divide both sides by -1

-x/-1 > 2/-1

x < -2

(NOTE: The sign changes when you divide or multiply by a negative sign)