Question

Drag the tiles to the correct boxes to complete the pairs. Solve the inequalities for x, and match each solution to its number line graph. Two less than of a number (x) is no more than . The sum of two times a number (x) and -2 is at least 8. Seven subtracted from 4 times a number (x) is more than 13. Four added to 3 times a number (x) is less than 19.

Answer 1

in the figure, the first number line goes with x $\leq$5

the second number line goes with x $\geq$ 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 $\leq$ 5 1/2

3/2 x $\leq$ 11/2 + 2

3/2 x $\leq$ 15/2

3x $\leq$ 15

x $\leq$ 5

The sum of two times a number (x) and -2 is at least 8 is shown as :

2x+(-2) $\geq$ 8

2x - 2 $\geq$ 8

2x $\geq$ 8+2

2x $\geq$ 10

x $\geq$ 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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