Question

state true or false If (x - a) (x - b) < 0, then x < a, and x < b.​

Answer 1

Step-by-step explanation:

$\blue{\mathfrak{\underline{\large{It's\:true.}}}} \\ (x-a)(x-b)<0\\\blue{\mathfrak{\underline{\large{Solving\: inequality}}}:} \\ \\ \frac{(x-a)(x-b)}{(x - b)} < \frac{0}{(x - b)} \\ x - a < 0 \\ x - a + a < 0 + a \\ x < a \\ \\\frac{(x-a)(x-b)}{(x - a)} < \frac{0}{(x - a)} \\ x - b< 0 \\ x - b + b < 0 + b \\ x < b \\ \red{\mathfrak{\underline{\large{Hope\:it\:helps\:you}}}} \\\blue{\mathfrak{\underline{\large{Mark\:me\: Brainliest}}}}\\</p><p>$