9+3|5-x|=24

What is the lines for and how do I solve X with them?

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9+3|5-x|=24

What is the lines for and how do I solve X with them?

30 people weigh 160 pounds or more

[tex]According to the histogram above how many people weigh 160 pounds or more?[/tex]

42

step-by-step explanation:

256/6=42

the lines represent absolute value bars

[tex]x=0,10[/tex]

Step-by-step explanation:

STEP 1: Move all terms not containing |5−x| to the right side of the equation.

[tex]3|5-x|=15[/tex]

STEP 2: Divide each term by 3 and simplify.

[tex]|5-x|=5[/tex]

STEP 3: Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.

5-x=±5

STEP 4: Set up the positive portion of the ± solution.

[tex]5-x=5[/tex]

STEP 5: Solve the first equation for x.

[tex]x=0[/tex]

STEP 6: Set up the negative portion of the ± solution.

[tex]5-x=-5[/tex]

STEP 7: Solve the second equation for x.

[tex]x=10[/tex]

NOTE: The solution to the equation includes both the positive and negative portions of the solution.

[tex]x=0,10[/tex]

x=0,10

Step-by-step explanation: