Solve for xx and graph the solution on the number line below. 7, x, is greater than or equal to, minus, 28 7x≥ −28 Answer Attempt 1 out of 3 is less than< is greater than> is less than or equal to≤ is greater than or equal to≥ or or Inequality Notation: Number Line: 0 20 Click and drag to plot line. -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
To solve for xx, we need to isolate the variable. We can start by subtracting -28 from both sides of the inequality:
7x ≥ -28 - 28
7x ≥ -56
Next, we can divide both sides of the inequality by 7 to solve for x:
(7x)/7 ≥ (-56)/7
x ≥ -8
So, the solution to the inequality is x ≥ -8.
On the number line, we can plot -8 as a closed circle since the inequality includes "greater than or equal to". Then, we shade to the right to represent all values that are greater than -8:
Number Line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
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