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Sagot :
in the figure, the first number line goes with x [tex]\leq[/tex]5
the second number line goes with x [tex]\geq[/tex] 5
the third number line goes with x > 5
the fourth number line goes with x < 5
Two less than 3/2 of a number x is no more than 5/2 is shown as:
3/2 x- 2 [tex]\leq[/tex] 5 1/2
3/2 x [tex]\leq[/tex] 11/2 + 2
3/2 x [tex]\leq[/tex] 15/2
3x [tex]\leq[/tex] 15
x [tex]\leq[/tex] 5
The sum of two times a number (x) and -2 is at least 8 is shown as :
2x+(-2) [tex]\geq[/tex] 8
2x - 2 [tex]\geq[/tex] 8
2x [tex]\geq[/tex] 8+2
2x [tex]\geq[/tex] 10
x [tex]\geq[/tex] 5
Seven subtracted from 4 times a number (x) is more than 13 is shown as
4x -7 > 13
4x > 13+7
4x > 20
x > 20 ÷ 4
x > 5
Four added to 3 times a number (x) is less than 19 is shown as
3x + 4 < 19
3x < 19-4
3x < 15
x < 15 ÷ 3
x< 5
to learn more about number line inequalities visit brainly.com/question/27916124
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