Question

Inequality Match Up Lab

2x + 3 < -3 =
-3x < -6 =
-5x < 5 =
5 - 2x < 11 =
x + 2 < 5 =
2 - 3x < 5 =
1 > x - 1 =
-1 < x =
2x < -2 =
8 < 4x =
15 < -5x =
1 - x>4=
-9>x-6=

Answer 1

1. 2x+3<-3 = x<-3

You get this by subtracting 3 from both sides, which gives you -6. Then divide 2 from both sides.

2. -3x<-6 = x>2

You divide -3 from both sides. You must switch the sign because any time you multiply or divide a negative integer from both sides of an inequality the sign is switched.

3. -5x<5 = x>1

See number 2

4. 5-2x<11 = x>-3

Subtract 5 from both sides to get -2x<6. Then, divide both sides by -2 and switch the sign.

5. x+2<5 = x<3

Subtract 2 from both sides

6. 2-3x<5 = x>-1

Subtract 2 from both sides to get -3x<3. Then, divide -3 from both sides and switch the sign.

Answer 2

1. 2x+3<-3 = x<-3
You get this by subtracting 3 from both sides, which gives you -6. Then divide 2 from both sides.

2. -3x<-6 = x>2
You divide -3 from both sides. You must switch the sign because any time you multiply or divide a negative integer from both sides of an inequality the sign is switched.

3. -5x<5 = x>1
See number 2

4. 5-2x<11 = x>-3
Subtract 5 from both sides to get -2x<6. Then, divide both sides by -2 and switch the sign.

5. x+2<5 = x<3
Subtract 2 from both sides

6. 2-3x<5 = x>-1
Subtract 2 from both sides to get -3x<3. Then, divide -3 from both sides and switch the sign.