Option 1, 0.2x +5 > 2 describes the value greater than -15 is the correct answer.
What is an inequality?
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.
For the given situation,
The diagram shows the number line which describes the value greater than -15.
Option 1 : 0.2x +5 > 2
⇒ [tex]0.2x > 2-5[/tex]
⇒ [tex]0.2x > -3[/tex]
⇒ [tex]x > \frac{-3}{0.2}[/tex]
⇒ [tex]x > -15[/tex]
Option 2 : 0.3x+8 < 3
⇒ [tex]0.3x < 3-8[/tex]
⇒ [tex]0.3x < -5[/tex]
⇒ [tex]x < \frac{-5}{0.3}[/tex]
⇒ [tex]x < 16.66[/tex]
Option 3 : 0.5x+6 > 3
⇒ [tex]0.5x > 3-6[/tex]
⇒ [tex]0.5x > -3[/tex]
⇒ [tex]x > \frac{-3}{0.5}[/tex]
⇒ [tex]x > -6[/tex]
Option 4 : 0.4x+7 < 1
⇒ [tex]0.4x < 1-7[/tex]
⇒ [tex]0.4x < -6[/tex]
⇒ [tex]x < \frac{-6}{0.4}[/tex]
⇒ [tex]x < -15[/tex]
Hence we can conclude that option 1, 0.2x +5 > 2 describes the value greater than -15 is the correct answer.
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