ᴘʟᴇᴀꜱᴇ ʜᴇʟᴘ, ɪᴛ'ꜱ ᴀʙᴏᴜᴛ ɢʀᴀᴘʜɪɴɢ ɪɴᴇQᴜᴀʟɪᴛɪᴇꜱ
ɪ ᴏɴʟʏ ɴᴇᴇᴅ ᴘᴀʀᴛꜱ ʙ ᴀɴᴅ ᴄ

9514 1404 393

Explanation:

Part B:

Draw an open circle at x=5. Shade that portion of the number line that exists to the right of the open circle. The solution set is the shaded portion of the number line.

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Part C:

Any value from the shaded portion of the number line can be used to check the inequality is true. The value at the open circle, or any value to the left of it can be used to check that the inequality is false. For example, one might use values of -5, 5, and 10. Choosing values that are multiples of 5 can make the arithmetic easier.

x = -5 (expect false)

  -2/5(-5) < -2

  10 < -2 . . . . False

x = 5 (expect false)

  -2/5(5) < -2

  -2 < -2 . . . . False

x = 10 (expect true)

  -2/5(10) < -2

  -4 < -2 . . . . True