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Solve the following inequality:

[tex]\[ 4a - 11 \ \textgreater \ 13 \][/tex]

Sagot :

GinnyAnswer
To solve the inequality [tex]\( 4a - 11 > 13 \)[/tex], follow these steps:

1. Isolate the term involving [tex]\( a \)[/tex]:

Start by getting rid of the constant term on the left side of the inequality. To do this, add 11 to both sides:
[tex]\[ 4a - 11 + 11 > 13 + 11 \][/tex]

Simplifying this, you get:
[tex]\[ 4a > 24 \][/tex]

2. Solve for [tex]\( a \)[/tex]:

Next, isolate [tex]\( a \)[/tex] by dividing both sides of the inequality by 4:
[tex]\[ \frac{4a}{4} > \frac{24}{4} \][/tex]

Simplifying this, you get:
[tex]\[ a > 6 \][/tex]

So, the solution to the inequality [tex]\( 4a - 11 > 13 \)[/tex] is:
[tex]\[ a > 6 \][/tex]
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