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1 step inequalities notes Absent copy 4/21

1 step inequalities notes Absent copy 4/21. Inequality Clues x < 3 = x is less than 3 Graph = x > 3 = x is greater than 3 Graph = x < 3 = x is less than or equal to 3 Graph = x > 3 = x is greater than or equal to 3 Graph = . Example 1.

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1 step inequalities notes Absent copy 4/21

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  1. 1 step inequalities notesAbsent copy4/21

  2. Inequality Clues x < 3 = x is less than 3 Graph = x > 3 = x is greater than 3 Graph = x < 3 = x is less than or equal to 3 Graph = x > 3 = x is greater than or equal to 3 Graph =

  3. Example 1 • Solve and graph x + 7 <10 -7 < -7 0 3 x < 3 -3 0 3 Solution • Is this a less than or greater than sign? • It is a less than sign. • What inverse do we use? • We use the inverse of addition and sub. 7 from both sides. • What type of circle do we use on the # line? OPEN or CLOSED • Which way does the graphed line face? • The line goes to the left because that is the way the arrow points. X < 3

  4. Example 2 • Solve and Graph -22 > -11 + y +11>+11 + y -11 0 11 > y y < -11 -21 -17 -11 Solution • Is this a less than or greater than sign?(hint look at the variable) • This is a less than or equal too sign. • What inverse do we use? • We use the inverse of sub. And add 11 to each side. • What is the proper way to write the solution? • We re-write the solution with the variable first. • What type of circle do we use on the # line? OPEN or CLOSED • Which way does the graphed line face? • The line goes to the left because the arrow points that direction. y < -11

  5. Example 3 • Solve and graph 3 >h 5 5 · 3>h · 5 1 1 5 1 15 > h h < 15 -15 0 15 Solution • Is this a less than or greater than sign? (hint look at the variable) • This is a less than sign. • What inverse do we use? • We use the inverse of division and mult. by 5 on each side. • What is the proper way to write the solution? • You write the solution with the variable first • What type of circle do we use on the # line? OPEN or CLOSED • Which way does the graphed line face? The line goes to the left. h < 15

  6. Example 4 • Solve and Graph -3x >-36 -3-3 x<12 -12 0 12 Solution • Is this a less than or greater than sign? This is a greater than sign. • What inverse do we use and what do we have to do to the inequality? (hint think of the Neg. sign) • We use the inverse of mult. and divide by -3 on each side. We have to flip the sign when you mult. Or div. by a neg. # • What type of circle do we use on the # line? OPEN or CLOSED • Which way does the graphed line face?The line goes to the left because x is less than or equal too 12. X < 12

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