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Direction: Solve the following linear and make a graph in a number line. SHOW YOUR SOLUTION

1. x – 5 < 3

2. 10y > –60

3. 3a + 2 ≥ 26​


Sagot :

[tex] \large \bold \dashrightarrow \bold{PROBLEM:}[/tex]

Direction: Solve the following linear and make a graph in a number line. SHOW YOUR SOLUTION

1. x – 5 < 3

2. 10y > –60

3. 3a + 2 ≥ 26

[tex] \large \dashrightarrow \bold{SOLUTION:}[/tex]

[tex] \large \bold{x - 5 < 3} \\ \large{ \bold{x - 5 + 5 < 3 + 5}} \\ \huge \tt»\color{darkviolet} \: \boxed{ \bold{x < 8} }[/tex]

[tex] \large \dashrightarrow \bold{SOLUTION:}[/tex]

[tex] \large \bold{10y > - 60} \\ \\ \large \bold{ \cancel{\frac{10y}{10} } > \frac{ - 60}{10} } \\ \\ \huge \tt»\color{darkviolet} \: \boxed{ \bold{y > 6}}[/tex]

[tex] \large \dashrightarrow \bold{SOLUTION:}[/tex]

[tex] \large \bold{3a + 2 \geqslant 6} \\ \large \bold{3a + 2 - 2 \geqslant 26 - 2} \\ \large \bold{3a \geqslant 24} \\ \\ \large \bold{ \cancel\frac{3a}{3} \geqslant \frac{24}{3} } \\ \\ \huge \tt»\color{darkviolet} \: \boxed{ \bold{a \geqslant 8}}[/tex]

[tex] \large \color{indigo}{ \bold{Carry \: On\: Latex}}[/tex]

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