Solve for x and graph the solution on the number line below.
[tex]$-x-5 \geq 1 \text { or }-x-5 < -8$[/tex]
[tex]$-x-5 \geq 1$[/tex]
Add 5 to both sides
[tex]$-x-5+5 \geq 1+5$[/tex]
Simplify
[tex]$-x \geq 6$[/tex]
Multiply both sides by - 1 (reverse the inequality)[tex]$(-x)(-1) \leq 6(-1)$[/tex]
Simplify
[tex]$x \leq-6$[/tex]
[tex]$-x-5 < -8$[/tex]
Add 5 to both sides
[tex]$-x-5+5 < -8+5$[/tex]
Simplify
[tex]$-x < -3$[/tex]
Multiply both sides by [tex]$-1$[/tex] (reversing the inequality)
[tex]$(-x)(-1) > (-3)(-1)$[/tex]
Simplify
[tex]$x > 3$[/tex]
The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities, is at the core of social justice theories. However, because it frequently has diverse meanings to different individuals, it is prone to misunderstanding in public discourse. However, certain distinctions are universal.
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
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