Which of the following values are solutions to the inequality 6x−3≥8 ?I. 10II. −5III. −2NoneI onlyII onlyIII onlyI and III and IIIII and IIII, II and III
Q. Which of the following values are solutions to the inequality 6x−3≥8 ?I. 10II. −5III. −2NoneI onlyII onlyIII onlyI and III and IIIII and IIII, II and III
Isolate x by adding: Solve the inequality 6x−3≥8 for x.First, add 3 to both sides of the inequality to isolate the term with x on one side.6x−3+3≥8+3This simplifies to:6x≥11
Divide by 6: Now, divide both sides of the inequality by 6 to solve for x.66x≥611This simplifies to:x≥611
Check value I: Check if the value I (10) is a solution to the inequality x≥611.Substitute x=10 into the inequality:10≥611Since 10 is greater than 611, value I (10) is a solution to the inequality.
Check value II: Check if the value II (−5) is a solution to the inequality x≥611. Substitute x=−5 into the inequality: −5≥611 Since −5 is not greater than 611, value II (−5) is not a solution to the inequality.
Check value III: Check if the value III (−2) is a solution to the inequality x≥611. Substitute x=−2 into the inequality: −2≥611 Since −2 is not greater than 611, value III (−2) is not a solution to the inequality.
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