Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Pirections: State whether the number is a solution to the given inequality. ..X > - 6;4

Sagot :

We are asked if the number we are given satisfies the given inequality

First one is x >= -6 That is x larger than or equal to -6

So place yourself at the point -6 on the numer line, and see what are the numbers that appear to the RIGHT of -6. All those numbers are larger than -6.

Notice that the number 4 is also on that group.

So the first question should be responded with a YES, 4 is a solution to the given inequality.

Notice in the picture the position of negative six (-6) to the left of zero, and 4 to the right of 0. The green color identifies all the numbers on the real number line that are larger than -6 . We see that 4 is also among those numbers. Therefore 4 IS a solution to the given inequality

Second question tells us that the number "n" is strickly smaller than 8 Noted as: n < 8. And we are asked if the number 11 is a solution of this inequality.

Again,place yourself on the number line. and locte the number 8 eight units to the right of the zero.. you are interested in all the numbers "less than" (<) 8, so we are going to highlight all the numbers to the left of 8 on that line. Notice as well that the option "11" given is NOT in your highlighted region.

So above we highlighted in blue the numbers to the left of 8 (smaller than 8) represented by the n < 8 inequality. Notice that the number 11 (the option given) is NOT in the highlighted region, therefore this number is NOT a solution to the given inequality.

View image GreenleyH788655
View image GreenleyH788655
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.