How do you solve the inequality $| 2 - x | - 4 \geq - 3$ $abs(2-x)-4>=-3$ and write your answer in interval notation?

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How do you solve the inequality $| 2 - x | - 4 \geq - 3$ $abs(2-x)-4>=-3$ and write your answer in interval notation?

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Answer 1 · 2017-04-14T19:52:39

$(- \infty, 1] u [3, \infty)$ $(-∞, 1] u [3, ∞)$

Explanation:

Solve the inequality first, leaving the abs value alone in one side of the equation and then $x \geq (1 + 2)$ $x >= (1+2)$ and then as we are moving the $- 1$ $-1$ to the other side of the equation we have to change the inequality sign to $\leq$ $<=$ , leaving $x \leq (2 - 1)$ $x <= (2-1)$

$| 2 - x | - 4 \geq - 3 \Rightarrow | 2 - x | \geq 1 \Rightarrow x \geq 3, x \leq - 1$ $|2-x| - 4 >= -3 => |2-x| >= 1 => x >= 3, x <= -1$

As interval notation,

$(- \infty, 1] u [3, \infty)$ $(-∞, 1] u [3, ∞)$

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How do you solve the inequality $| 2 - x | - 4 \geq - 3$ $abs(2-x)-4>=-3$ and write your answer in interval notation?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

How do you solve the inequality |2−x|−4≥−3abs(2-x)-4>=-3 and write your answer in interval notation?

1 Answer

Explanation:

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Impact of this question

How do you solve the inequality $| 2 - x | - 4 \geq - 3$ $abs(2-x)-4>=-3$ and write your answer in interval notation?