Leolyngraceridn
Answered

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7x -21 > 4x
solution with graph

answer po pls
nonsence answer will be reported​

Sagot :

Aenahidn

Answer:

The given equation is an example of linear inequality. Linear since the highest degree of its term(s) with a variable is one (or first) and inequality since the equation sign is "greater than" (>).

Getting the solution means solving for the variable such as "x" in the given equation.

[tex][Sol]\\\text{Arrange the equation to}\ ax+b>0\\7x-21>4x\\7x-4x-21>0\\3x-21>0\\\text{Solving for x.}\\3x>21\\x>\dfrac{21}{3}\\\boxed{\bold{x>7}}[/tex]

Hence, the solution is x>7.

Next, we graph the equation by plotting its solution in the cartesian plane. Since it is inequality, we will use a dashed line (----) instead of a solid line. See the attached image for the graph.

View image Aenah

Solving 7x - 21 > 4x

Solution:

Add 21 to both sides

7x - 21 + 21 > 4x + 21

= 7x > 4x + 21

Subtract 4x from both sides

7x - 4x > 4x - 4x + 21

= 3x > 21

Divide both sides by 3

[tex]\tt\frac{3x}{3}>\frac{21}{3}[/tex]

[tex]\large\tt\color{blue}\boxed{x > 7}[/tex]

"See the picture for the graph"

[tex]\large{•••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

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View image Аноним