45 -[38 -{60÷3 -(6 - 9÷3) ÷
3

Solved

Show answers

Ответ:

jeremytheprimerapper

04.02.2022

Mathematics

Solution:

$-6x + 14\leq 28$

Solve the inequality for "x"

From given,

$-6x + 14\leq 28$

$\mathrm{Subtract\:}14\mathrm{\:from\:both\:sides}\\\\-6x+14-14\le \:28-14\\\\Simplify\\\\-6x\le \:14\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$

When, we multiply or divide both sides of inequality by negative number, then we must flip the inequality sign

$\left(-6x\right)\left(-1\right)\ge \:14\left(-1\right)\\\\\mathrm{Simplify}\\\\6x\ge \:-14\\\\\mathrm{Divide\:both\:sides\:by\:}6\\\\\frac{6x}{6}\ge \frac{-14}{6}\\\\x \geq -2.333$

The solution set is given as:

$-6x+14\le \:28\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-\frac{7}{3}\:\\ \:\mathrm{Decimal:}&\:x\ge \:-2.33333\dots \\ \:\mathrm{Interval\:Notation:}&\:[-\frac{7}{3},\:\infty \:)\end{bmatrix}$

---------------------------------------------------------------------------------------------------

9x + 15< - 12

Solve the inequality for "x"

From given,

9x+15

The solution set is given as:

9x+15

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice

45 -[38 -{60÷3 -(6 - 9÷3) ÷3