Question

Write the sentence as an inequality and graph the inequality.

1.A number d is more than 0 and less than 4.
2.A number a is fewer than -6 or no less than -3.

Answer 1

To write the sentences as inequalities and graph them, use the appropriate symbols and draw a number line with shaded regions.

Step-by-step explanation:

To write the sentence 'A number d is more than 0 and less than 4' as an inequality, you can use the symbols '> 0' and '< 4'. The inequality would be written as '0 < d < 4'. To graph this inequality, you would draw a number line and mark 0 and 4 as endpoints. Then, shade the region between 0 and 4 to indicate that d can take any value within that range.

To write the sentence 'A number a is fewer than -6 or no less than -3' as an inequality, you would use the symbols '< -6' and '≥ -3'. The inequality would be written as 'a < -6 or a ≥ -3'. To graph this inequality, you would draw a number line and mark -6 and -3 as separate points. Then, shade the region to the left of -6 and include the point -3 to indicate that a can take any value less than -6 or equal to or greater than -3.