Solve and graph the absolute value inequality: |2x+1| greater than or equal to 5
2 answers:
Answer:
x ≥ 2 or x ≤ -2
Step-by-step explanation:
|2x+1|≥5
There is a positive and negative solution. When we take the negative solution we flip the inequality.
2x+1 ≥5 or 2x+1 ≤-5
Subtract 1 from each side
2x+1-1 ≥5-1 2x+1-1 ≤-5-1
2x ≥ 4 2x ≤- 4
Divide by 2
2x/2 ≥ 4/2 2x/2 ≤- 4/2
x ≥ 2 or x ≤ -2
Answer:
Step-by-step explanation:
Solution One
2x + 1 ≥ 5 Subtract 1 from both sides.
2x + 1 - 1 ≥ 5 - 1
2x ≥ 4 Divide by 2
2x/2 ≥ 4/2
x ≥ 2
Solution Two
2x + 1 ≤ - 5 Subtract 1 from both sides.
2x + 1 - 1 ≤ -5 -1
2x ≤ -6 Divide by 2
2x/2 ≤ -6/2
x ≤ -3
Which part is the graphical solution?
Answer: The pink colored area because the absolute value turns it positive.
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