Question

the product of a number and -7 is at most -70. what is inequality 18 points

Answer 1

Answer:

Inequality :

$-7x\le \:-70$

Step-by-step explanation:

Let the unknown number be x

at most -70 = ≤ -70

$x\times(-7) \leq -70\\\\-7x\leq -70$

Solving further  :

$-7x\le \:-70\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-7x\right)\left(-1\right)\ge \left(-70\right)\left(-1\right)\\\\Simplify\\\\7x\geq 70\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\\\frac{7x}{7}\ge \frac{70}{7}\\\\Simplify\\\\x \geq 10$