Review Of Number Lines And Inequality Notation Ideas
Review Of Number Lines And Inequality Notation Ideas. 5 > x ≥ − 2. You can represent it as:
It would mean that 2 has also been included. If the symbol is (> or <) then you do. Divide both sides of the inequality 7 |x + 3| ≤ 14 by 7 |x + 3| ≤ 14/7.
It Is Used Most Often To Compare Two Numbers On The Number Line By Their Size.
Any number line showing a linear inequality must have an open circle for < and > and a closed circle for ≤ and ≥. Reading it out loud, it says “x is less than or equal to 3.” Write the numbers in the interval notation with a smaller number appearing first on the number line on the left.
X ≥ −2 On The Number Line.
To exclude an endpoint, we use parentheses. It would mean that 2 has also been included. In case the inequality was.
As We Saw Above, The Inequality Means All Numbers Greater Than 3.
The colon means such that. ⇒ |x + 3| ≤ 2 If the set is unbounded on the left, use the symbol −∞ and if it is unbounded on right, use the symbol ∞.
Divide Both Sides Of The Inequality 7 |X + 3| ≤ 14 By 7 |X + 3| ≤ 14/7.
The inequality x ≤ 1 x ≤ 1 means all numbers less than or equal to 1. The values to the right hand side of the closed circle are indicated by an arrow as these values are greater than − 2 − 2. Sometimes the set is written with a bar instead of a colon:
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The inequality x>3 x > 3 is graphed on this number line and written in interval notation. Express the inequality in interval notation. The graph is shown below.