Question

Solve and check. 2x+3 > 17

Answer 1

x>7

Answer 2

x>(17-3)/2

Answer 3

2x+3>17
-3 -3

2x>14
/2 /2

x>7

Check:
2x+3>17
2(7)+3>17
14+3>17
17=17 ✓

Answer 4

2x+3>17
-3 -3
______________
2x/2 > 14/2
x=7

2(7)+3 > 17
14+3 > 17
17 > 17 is that true?

Answer 5

opps 17=17 HA

Answer 6

thanks !

Answer 7

what about 2x/3 - 1/2 < 3/2

Answer 8

No prob

Answer 9

\[2x+3>1\] now -3 both sides \[2x+3-3>1-3\] then divide both sides in 2\[x>7\].. if we choose any number major to 7 (for example 8) we have \[2*8+3>1-->16+3>1-->19>1\]

Answer 10

sorry \[19>17.. \]

Answer 11

i lost the 7 lol

Answer 12

2x/3 - 1/2 < 3/2
+1/2 +1/2

2x/3< 4
*3 *3

2x<12
/2 /2

x<6

Answer 13

but isn't 3/2 + 1/2 equal to 4/2? which is 2

Answer 14

2x/3-1/2<3/2
we have to get rid of all the fractions unless you are good with fractions so we mutiply all the fractions by 6 giving us..
4x-3<9 we mutiply by 6 because it was the LCD (Least Common Denominator) of the fractions.
so
4x-3<9
+3 +3
_________________
4x<12

4x/4<12/4

x< 3

Check
4(3)-3=9
12-3=9
9=9

Answer 15

@musiclove13 yeah, it's true

Answer 16

@sheetalvee just remember this chant "WE HATE FRACTIONS!" so whenever you have fractions you must get rid of them by multiplying EVERYTHING by the LCD

Answer 17

you said multiply everything by 6. so 2x/3 by 6 ? Wouldn't that be 12x/18? How did you get 4?

Answer 18

Opps, yes sorry.

Answer 19

soo what would be the correct method?

Answer 20

you get the fraction 2x/3 then when you mutiply 2/3 by 6 you get 4 so it would be 4x