Question

Help please: Solve each compound or absolute value inequality. Give the solution set in both interval and graph form: 3x+5<8 or 2x+5 (greater than or equal to)11 I also need to do a check.... Any takers? I'm really not good at algebra and could use help from someone who loves math...

Answer 1

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Ok now on to your question...

Answer 2

3x + 5 < 8
subtract 5 from both sides
3x < 3
divide both sides by 3 to solve for x
x < 1
the sign doesn't flip because we didn't multiply or divide by a negative number.
ok now fo rhte other one
2x + 5 ≥ 11
subtract 5 from both sides
2x ≥ 6
divide both sides by 2
x ≥ 3
ok now we have to graph both of these equations
Remember when graphing if it is
≥ greater than or equal to
≤ less than or equal to
we use closed lines (not dotted)

If they dont have the ..or equal to part they dotted lines
so the first one will be dotted and then the second one will be closed