21000424
21000424 21000424
  • 03-05-2020
  • Mathematics
contestada

Match each inequality to the number line that represents its solution

Match each inequality to the number line that represents its solution class=

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ItzMikeSS
ItzMikeSS ItzMikeSS
  • 03-05-2020

Answer:

A) [tex]x-51\leq -43[/tex]

B) [tex]x-99\leq -104[/tex]

C) [tex]75<69-x[/tex]

D) [tex]150+x\leq 144[/tex]

Step-by-step explanation:

[tex]x-99\leq -104[/tex]

[tex]x\leq -104+99\\x\leq -5[/tex]

[tex]x-51\leq -43\\x\leq -43+51\\x\leq 8[/tex]

[tex]150+x\leq 144[/tex]

[tex]x\leq 144-150\\x\leq -6[/tex]

[tex]75<69-x\\75-69<-x\\6<-x\\[/tex]

Since our x cannot be negative, multiply by -1 and switch the inequality sign.

[tex]-6>x[/tex]

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