Question

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

Answer 1

Inequality :

`-7x\le \:-70`

Explanation:

Let the unknown number be x

at most -70 = ≤ -70

`x*(-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\\\\(7x)/(7)\ge (70)/(7)\\\\Simplify\\\\x \geq 10`