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12345Inequalities

Solutions to the exercises

Exercise 1

$x < \frac{1}{3}$

$x \leq - 8$ or $x \geq 8$

$x > 8000$

Exercise 2

$x < - 9$ of $x > 10$

Exercise 3

$11.5$ ct/km

$3665$ euros

$1825 + 0.115 a < 4000$ gives $a \leq 18913$

$K (a) = 2050 + 0.10 a$ when $a < 15000$ $K (a) = 1825 + 0.115 a$ when $a \geq 15000$

Exercise 4

$a_{A} (t) = 110 t + 24$ and $a_{B} (t) = 120 t$

after $144$ minutes

between $2$ hours and $2.8$ hours