exercise:Aeba932c2b: Difference between revisions
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Prove the following facts about inequalities. | Prove the following facts about inequalities. | ||
<ul style{{=}}"list-style-type:lower-alpha"><li>If <math>a \leq b</math>, then <math>a + c \leq b + c</math>.</li> | <ul style{{=}}"list-style-type:lower-alpha"><li>If <math>a \leq b</math>, then <math>a + c \leq b + c</math>.</li> | ||
<li>If <math>a \geq b</math>, then <math>a + c \geq b + c</math>.</li> | <li>If <math>a \geq b</math>, then <math>a + c \geq b + c</math>.</li> | ||
Latest revision as of 23:23, 22 November 2024
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[/math]
Prove the following facts about inequalities.
- If [math]a \leq b[/math], then [math]a + c \leq b + c[/math].
- If [math]a \geq b[/math], then [math]a + c \geq b + c[/math].
- If [math]a \leq b[/math] and [math]c \geq 0[/math], then [math]ac \leq bc[/math].
- If [math]a \leq b[/math] and [math] c \leq 0[/math], then [math]ac \geq bc[/math].