# solve. 4+3x<28

pohnpei397 | Certified Educator

You do this problem just the same way that you would do it if it were not an inequality.  What that means is that you need to get the x term on one side by itself and then simplify it down to where it is just x (instead of 3x).

So, what you do first is to subtract 4 from both sides.  Then you get

3x < 24

So then you divide both sides by 3 and you get

x < 8

And that is your answer.  Plug in a number to check and see if it's right.  We'll choose 7.

4 + 3*7 < 28

4 + 21 < 28

25 < 28

True.  So numbers less than 8 make the inequality true.

Now we'll try a number bigger than 8.

4 + (3*9) < 28

4 + 27 < 28

Not true.  So numbers bigger than 8 make the statement false.

hala718 | Certified Educator

4+3x <28

in order to sove the problem, we need to to find X values , so we need to keep X in one side by itself by using subtraction and division.

first you subtract 4 from both sides:

4+3x - 4 < 28-4

3x < 24

Now you divide by 3 ...

3x/3 < 24/3

==> x < 8

what does that mean?

it means that x values are any real number less that 8

which we could perform by the interval (- inf, 8)

then, x = (- inf, 8)

givingiswinning | Student

4+3x<28

3x < 24

divide by x

(3x)/3 < 24/3

x < 8

ik9744 | Student

4+3x<28 Equation

3x < 28-4 Subtract 4 on both sides

3x < 24 Divide 3 on both sides

nisarg | Student

4+3x<28

3x<24             subtract 4

x<8                   divide by 3

jess1999 | Student

4 + 3x < 28

To solve this equation you can basically think of " < " as " = "

First subtract 4 from both sides making your equation

3x < 24 now divide both sides by 3

Dividing both sides by 3 would make your equation

nisarg | Student

4+3x<28

3x<24

x<8

4+3x<28

3x<28-4

3x<24

x<8

zumba96 | Student

4+3x<28

Do this the way you would do a normal equation. Move the terms on one side

3x<28-4

3x<24

24 is divisible by 3 therefore

`(3x)/3` < `24/3`

x<8

atyourservice | Student

4+3x<28

minus 4 on both sides, this cancels out the 4

3x < 24

now divide by x

(3x)/3 < 24/3

x < 8

Wiggin42 | Student

4+3x<28

3x < 24

Undo multiplication next

x < 8

shihan | Student

4+3x -4< 28 -4. Or 3x < 24. If we divide by positive equals (or multiply by positive equals) both sides, the inequalitydoes not change. 3x/3 < x < 24/3. Or x < 8

neela | Student

To solve 4+3x<28.

Solution:

4+3x < 28.  If we add equals or subtract equals the inequality remains. So we subtract 4 from both sides so that x's reains on one side and numbers moves to the other side.

4+3x -4< 28 -4. Or

3x < 24. If we divide by positive equals (or multiply by positive equals) both sides, the inequality does not change.

3x/3 <

x < 24/3. Or

x < 8