Solve the inequality and graph the solution on the line provided.minus, 7, plus, 3, x, is greater than or equal to, 14−7+3x≥14
Question
Solve the inequality and graph the solution on the line provided.minus, 7, plus, 3, x, is greater than or equal to, 14−7+3x≥14
Solution
To solve the inequality -7 + 3x ≥ 14, follow these steps:
Step 1: Add 7 to both sides of the inequality to isolate the term with x on one side. This gives you:
3x ≥ 14 + 7
Step 2: Simplify the right side of the inequality:
3x ≥ 21
Step 3: Divide both sides of the inequality by 3 to solve for x:
x ≥ 21 / 3
Step 4: Simplify the right side to find the solution:
x ≥ 7
So, the solution to the inequality is x ≥ 7.
To graph this solution on a number line:
- Draw a number line and mark the point that corresponds to 7.
- Since the inequality is 'greater than or equal to', you should draw a closed circle at 7 to indicate that 7 is included in the solution.
- Draw an arrow to the right of 7 to indicate that all numbers greater than 7 are also included in the solution.
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