jamesh45
jamesh45 jamesh45
  • 20-11-2020
  • Mathematics
contestada

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

Respuesta :

ZJSG09112007
ZJSG09112007 ZJSG09112007
  • 20-11-2020

Answer:

Inequality :

[tex]-7x\le \:-70[/tex]

Step-by-step explanation:

Let the unknown number be x

at most -70 = ≤ -70

[tex]x\times(-7) \leq -70\\\\-7x\leq -70[/tex]

Solving further  :

[tex]-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[/tex]

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