Question

50 PONTIS Score for Question 3: ___ of 5 points) 3. Solve the given inequality and graph the solution on a number line. Show your work! -2x + 3 < 5

Answer 1

If x equals -1 or anything less than -1, then the inequality statement is false

Explanation:

So to find the number x has to be for the statement to be false, we have to find what number x would be to make it so both sides equal the same thing. So in this case, it would be -1 because 5-3 equals 2 and -2x=2 only if x=-1. So anything greater than -1 would make the statement true.

I hope this helped.

Answer 2

• x > - 1 or x = (-1, + oo)

Explanation:

Given

Inequality

• -2x + 3 < 5

To find

• Solve and graph

Solution

• -2x + 3 < 5
• -2x < 5 - 3
• -2x < 2
• x > - 1
• x = (-1, + oo)

As per above, the graph covers all numbers to the right from the point -1

The graph is attached