Question

1. is zero a solution of -2 < x < 5?
True or false

2. Is 8 a solution of x < -1 or x > 7?
Yes
No

3. Solve 2x - 3 < 5

4. Solve -2x - 3 < 11

5. Solve x/4 + 12 < 42

6. Which of the following is the solution of a - 4 > 1 and a + 2 < 1?
All real numbers
No solution

Answer 1

1) well plug in 0 for x

-2 < 0 < 5

is 0 greater than -2 AND less than 5 ??

if both are correct...then this number is a solution

2) plug in 8 for x...

is 8 Less than -1 OR greater than 7 ??

if either of these is correct then this number is a solution

Answer 2

3. Solve 2x - 3 < 5

Well we can start by adding 3 to both sides of the equation to isolate the 2x...

2x < 8

Can you solve for 'x' ?


4. Solve -2x - 3 < 11

Same thing here...start by adding 3 to both sides...

-2x < 14

What about 'x' here?
***********When dividing by a negative number, reverse the direction of the sign*******


5. Solve x/4 + 12 < 42

And here we subtract 12 from both sides of the equation...

x/4 < 30

What does 'x' equal??