Question

Solve |2x - 3| < 7.

Answer 1

x < 5

Explanation:

• Add 3 to both sides of the equation. This is to balance the equation.

2x - 3 + 3 < 7 + 3

• Now, add 7 and 3.

7 + 3 = 10

• Add -3 and positive 3.

-3 + 3 = 0

= 2x + 0

= 2x

• Now, the problem becomes,

2x < 10

• Divide by 2

2x/2 < 10/2

• Divide by 2: 10/2

10/2 = 5

• Divide by 2: 2x

2x/2 = 2/2

= x (We assume x = 1)

• Divide both numbers

= 5/1

= 5

Therefore,

x < 5

Hope this helps!

Answer 2

5 or (-2,5)

Explanation:

|2x-3|<7

2x-3<7

2x=10

x=5