Which of the following is not a way to represent the solution of the inequality: 2(x + 1) ≥ 20?
x ≥ 9
x ≤ 9
A number line with a closed circle on 9 and shading to the left.
A number line with a closed circle on 9 and shading to the right.
Solution:
Given: Inequality is 2(x + 1) ≥ 20
Let us solve for x
2x + 2 ≥ 20
By subtracting 2 on both sides
2x + 2 - 2 ≥ 20 - 2
2x ≥ 18
Now divide by 2 both sides
x ≥ 9
It is equivalent to 9 ≤ x
The solution is [9,∞)
All the real numbers are greater than or equal to 9. A number line with a closed circle on 9 and shading to the right.
Therefore, the solution of the inequality cannot be represented as x ≤ 9 and a number line with a closed circle on 9 and shading to the left.
Which of the following is not a way to represent the solution of the inequality: 2(x + 1) ≥ 20?
Summary:
The solution of the inequality 2(x + 1) ≥ 20 cannot be represented as x ≤ 9 and a number line with a closed circle on 9 and shading to the left.
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