What is the solution to the inequality

Mathematics

1 answer:

Sever21 [200]3 years ago

8 0

Answer:

$x+3>7\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(4,\:\infty \:\right)\end{bmatrix}$

The solution line graph is also attached.

Step-by-step explanation:

Given

The inequality is given by

$x+3>7$

To determine

What is the solution to the inequality?

Solving the given inequality

$x+3>7$

Subtract 3 from both sides

$x+3-3>7-3$

Simplify

$x>4$

Thus,

$x+3>7\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(4,\:\infty \:\right)\end{bmatrix}$

The solution line graph is also attached.

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Find the HCF of x³y² and x^2<br>

Elina [12.6K]

Answer:

$x^2$

Step-by-step explanation:

Hello!

The HCF or the highest common factor (sometimes also known as the greatest common factor, GCF), is the greatest factor between terms.

First, let's expand both terms:

$x^3y^2 = x*x*x*y*y$
$x^2 = x*x$

If we keep them on top of another, we can see that the overlapping variables are $x*x$ , meaning that the greatest common factor between them is $x^2$ .