All categories

3 years ago

2(4x – 3) ≥ –3(3x) + 5x?Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

Mathematics

1 answer:

nika2105 [10]3 years ago

5 0

Answer:

x<=-1/2

Step-by-step explanation:

An inequality is a mathematical relationship that compares two unequal numbers using the number line

To solve the inequality 2x – 6 ≥ 6(x – 2) + 8

We first simplify both sides of the inequality

2x-6≥6x-12+8

2x-6≥6x-4

Add 6 to both sides

2x≥6x+2

-4x≥2

x≥2/-4

Sign changes when we divide both sides of equation by a negative sign

x<=-1/2

Therefore x is less than or equal to -1/2 on the number line

You might be interested in

Sanford can assemble a computer in 60 minutes. Colleen can assemble a computer in 40 minutes. If they work together, how many mi

zmey [24]

$\dfrac{1}{60}+\dfrac{1}{40}=\dfrac{1}{x}\\
\dfrac{2}{120}+\dfrac{3}{120}=\dfrac{1}{x}\\
\dfrac{5}{120}=\dfrac{1}{x}\\
5x=120\\
x=24$

3 0

3 years ago

What is the value of B for the following triangular prism?

DENIUS [597]

Answer:

24 ft 2

Step-by-step explanation:

Because 1/2 x 6 x 8 =24

7 0

3 years ago

Michelle tried to solve an equation step by step. \begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45

koban [17]

Answer:

Step 2

Step-by-step explanation:

Michelle's step in trying to solve the equation is given below:

$\begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned}$

Michelle made a mistake in Step 2.

The right hand side of Step 1: $\dfrac45+\dfrac35\neq 1$

Rather, the correct sum is:

$\dfrac45+\dfrac35=\dfrac75\\\\=1\dfrac25$

4 0

4 years ago

Which function equation is represented by the graph?

Drupady [299]

The correct answer is C. <span>f(x)=20(35)x</span>

8 0

4 years ago

Rewrite 30 + 36 using gcf and the distributive property

postnew [5]

Answer:

15+17

Step-by-step explanation:

6 0

3 years ago