Mathematics

Question

I NEED WORK

2. Solve 0.7x – 2 < 5.5 and graph the solution on a number line.
3. Christina goes to the market with $50. She buys one papaya for $20 and
spends the rest of the money on bananas. Each banana costs $6. Write an
inequality for the number of bananas she can purchase.
4. Solve 1.2x + 8 < 9.6 and graph the solution on a number line.
5. Billy goes to the store. He has $90. He wants to purchase a leather jacket
for $45, a hat for $10, and the rest on jeans. Each pair of jeans costs $35.
Write an inequality for the number of jeans he can purchase.
6. Solve 2.6x + 2 > -12.5 and graph the solution on a number line.

7. Rebecca bought one gold fish ($32) and one star fish ($12). She spends
the rest of her money on guppy fish. She starts with $80. Each guppy costs
$6. Write an inequality for the number of guppies she can purchase.

2 Answer

  • 2)The goal is to isolate the variable and get is down to x<?. This is actually a two step inequality problem. 0.7x - 2 < 5.5       +2   +2 0.7x<7.5 This implies: x<10.714 The way to graph this is to place an open circle of the number 10.714 on the number line indicating this number is not included  as a solution to the inequality. Then draw the arrow going left from the open circle indicating all numbers from -∞ to 10.714.
  • 2)The goal is to isolate the variable and get is down to x<?. This is actually a two step inequality problem. 0.7x - 2 < 5.5       +2   +2 0.7x<7.5 This implies: x<10.714 The way to graph this is to place an open circle of the number 10.714 on the number line indicating this number is not included  as a solution to the inequality. Then draw the arrow going left from the open circle indicating all numbers from -∞ to 10.714.
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