What is the equivalent to 3x-6<2x+4 ?

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

We have to find the values of x for which the following inequation holds : 3x - 6  < 2x + 4

3x - 6  < 2x + 4

subtract 2x from both the sides

=> 3x - 2x - 6 < 2x - 2x + 4

=> x - 6 < 4

add 6 to both the sides

=> x - 6 + 6 < 4 + 6

=> x < 10

Therefore x < 10.

neela | High School Teacher | (Level 3) Valedictorian

Posted on

To solve the inequality  3x-6<2x+4.

We subtract 2x from both sides of the inequality 2x-6< 2x+4:

3x-6-2x< 4.

=> x-6 < 4.

We add 6 to both sides:

x < 4+6 = 10.

x< 10.

Therefore 3x-6< 2x+4  gives us  the solutuion x < 10.

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

To find the equivalent means to determine the range of values of x that makes the inequality to hold.

We'll solve the inequality separating x to the left side.We'll add 6 both sides and we'll subtract 2x both sides:

3x - 2x < 6 + 4

We'll combine like terms:

x < 10

The interval of admissible values of x is (-infinite , 10).

The equivalent of the given inequality is x < 10.