[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
[tex]- 2 ( 2 x + 3 ) \leq 26.[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex]- 2 ( 2 x + 3 ) \leq 26[/tex]
Divide both sides by -2. We know that since 2 is negative, it'll be < (less than) 0. So, the direction of inequality will change.
[tex]2x+3\geq \frac{26}{-2} \\ [/tex]
Divide 26 by -2..we'll get the answer as -13.
[tex]2x+3\geq -13 [/tex]
Now, subtract 3 from both the sides.
[tex]2x\geq -13-3 [/tex]
Subtracting -13 by 3..we'll get the answer as -16.
[tex]2x\geq -16 [/tex]
Divide both sides by 2. We know that since 2 is positive, the direction of inequality will remain the same.
[tex]x\geq \frac{-16}{2} \\ [/tex]
Divide -16 by 2..we'll get the answer as -8.
[tex] \huge \boxed{ \boxed{ \bf \: x\geq -8 }}[/tex]
