Tuklasin ang maliwanag na mga sagot sa iyong mga tanong sa IDNStudy.com. Makakuha ng mga kumpletong sagot sa lahat ng iyong mga tanong mula sa aming network ng mga eksperto.
Sagot :
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.

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]
#CarryOnLearning

Maraming salamat sa iyong aktibong pakikilahok. Magpatuloy sa pagtatanong at pagbahagi ng iyong mga ideya. Sama-sama tayong lumikha ng isang mas matibay at produktibong komunidad ng kaalaman. Bumalik ka sa IDNStudy.com para sa maasahang mga sagot sa iyong mga katanungan. Salamat sa iyong tiwala.